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1311022133421 = 37111337107110273
BaseRepresentation
bin10011000100111111000…
…000100011000010101101
311122022222101102211210220
4103010333000203002231
5132434433131232141
62442135242121553
7163501231160220
oct23047700430255
94568871384726
101311022133421
114660018a8170
121921027b02b9
13968237a1290
144764d37b5b7
15241818d7766
hex1313f0230ad

1311022133421 has 128 divisors (see below), whose sum is σ = 2432986730496. Its totient is φ = 605949050880.

The previous prime is 1311022133387. The next prime is 1311022133437. The reversal of 1311022133421 is 1243312201131.

It is not a de Polignac number, because 1311022133421 - 27 = 1311022133293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311022133391 and 1311022133400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311022173421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11833741 + ... + 11944013.

It is an arithmetic number, because the mean of its divisors is an integer number (19007708832).

Almost surely, 21311022133421 is an apocalyptic number.

1311022133421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311022133421 is a deficient number, since it is larger than the sum of its proper divisors (1121964597075).

1311022133421 is a wasteful number, since it uses less digits than its factorization.

1311022133421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110451.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1311022133421 its reverse (1243312201131), we get a palindrome (2554334334552).

The spelling of 1311022133421 in words is "one trillion, three hundred eleven billion, twenty-two million, one hundred thirty-three thousand, four hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 107 111 143 231 259 273 321 407 429 481 749 777 1001 1177 1221 1391 1443 2247 2849 3003 3367 3531 3959 4173 5291 8239 8547 9737 10101 11877 15301 15873 24717 27713 29211 37037 43549 45903 51467 83139 107107 110273 111111 130647 154401 304843 321321 330819 360269 566137 771911 914529 1080807 1213003 1433549 1698411 2315733 3639009 3962959 4080101 4300647 8491021 10034843 11799211 11888877 12240303 15769039 25473063 28560707 30104529 35397633 44881111 47307117 53041313 82594477 85682121 110383273 129791321 134643333 153389743 159123939 247783431 314167777 331149819 371289191 389373963 436570807 460169229 583454443 908539247 942503331 1073728201 1113867573 1309712421 1687287173 1750363329 2725617741 3055995649 3221184603 4084181101 4802278877 5061861519 5675420491 9167986947 11811010211 12252543303 14406836631 17026261473 33615952139 35433030633 39727943437 62429625401 100847856417 119183830311 187288876203 437007377807 1311022133421