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1312131103231 = 1317195321127943
BaseRepresentation
bin10011000110000001000…
…110111011100111111111
311122102211200011100101211
4103012001012323213333
5132444221030300411
62442441255145251
7163540555232314
oct23060106734777
94572750140354
101312131103231
11466520889643
12192372075227
139696c472930
1447716772d0b
15241e8e41221
hex131811bb9ff

1312131103231 has 64 divisors (see below), whose sum is σ = 1612310676480. Its totient is φ = 1054517667840.

The previous prime is 1312131103189. The next prime is 1312131103253. The reversal of 1312131103231 is 1323011312131.

It is not a de Polignac number, because 1312131103231 - 29 = 1312131102719 is a prime.

It is a super-2 number, since 2×13121311032312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312131103271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46943446 + ... + 46971388.

It is an arithmetic number, because the mean of its divisors is an integer number (25192354320).

Almost surely, 21312131103231 is an apocalyptic number.

1312131103231 is a deficient number, since it is larger than the sum of its proper divisors (300179573249).

1312131103231 is a wasteful number, since it uses less digits than its factorization.

1312131103231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28256.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1312131103231 its reverse (1323011312131), we get a palindrome (2635142415362).

The spelling of 1312131103231 in words is "one trillion, three hundred twelve billion, one hundred thirty-one million, one hundred three thousand, two hundred thirty-one".

Divisors: 1 13 17 19 53 211 221 247 323 689 901 1007 2743 3587 4009 4199 11183 11713 13091 17119 27943 46631 52117 68153 145379 190111 212477 222547 363259 475031 530917 885989 1480979 2471443 2762201 3612109 5895973 6175403 6901921 9025589 19252727 25176643 28138601 46957417 76647649 100231541 112023487 117332657 312486569 327296359 365801813 478356217 1303010033 1456305331 1904399279 4062325397 5312271673 5937244811 6218630821 24757190627 69059531749 77184182543 100933161787 1312131103231