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1311020003133 = 323152112177411
BaseRepresentation
bin10011000100111110111…
…000011010111100111101
311122022222020102121121100
4103010332320122330331
5132434432110100013
62442135124323313
7163501204105401
oct23047670327475
94568866377540
101311020003133
114660006826a5
12192101b43539
1396823206759
144764cd85101
1524181616473
hex1313ee1af3d

1311020003133 has 48 divisors (see below), whose sum is σ = 1960408300032. Its totient is φ = 843388416000.

The previous prime is 1311020003131. The next prime is 1311020003147. The reversal of 1311020003133 is 3313000201131.

It is a happy number.

It is not a de Polignac number, because 1311020003133 - 21 = 1311020003131 is a prime.

It is a super-2 number, since 2×13110200031332 (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 (1311020003131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176898198 + ... + 176905608.

It is an arithmetic number, because the mean of its divisors is an integer number (40841839584).

Almost surely, 21311020003133 is an apocalyptic number.

It is an amenable number.

1311020003133 is a deficient number, since it is larger than the sum of its proper divisors (649388296899).

1311020003133 is a wasteful number, since it uses less digits than its factorization.

1311020003133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1311020003133 its reverse (3313000201131), we get a palindrome (4624020204264).

The spelling of 1311020003133 in words is "one trillion, three hundred eleven billion, twenty million, three thousand, one hundred thirty-three".

Divisors: 1 3 9 31 93 279 521 1217 1563 3651 4689 7411 10953 16151 22233 37727 48453 66699 113181 145359 229741 339543 634057 689223 1902171 2067669 3861131 5706513 9019187 11583393 19655767 27057561 34750179 58967301 81172683 119695061 176901903 279594797 359085183 838784391 1077255549 2516353173 4698996427 14096989281 42290967843 145668889237 437006667711 1311020003133