13133111133131 has 16 divisors (see below), whose sum is σ = 14446950835968. Its totient is φ = 11839560564000.

The previous prime is 13133111133101. The next prime is 13133111133139.

13133111133131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13133111133131 - 2²² = 13133106938827 is a prime.

It is a super-2 number, since 2×13133111133131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13133111133131.

It is not an unprimeable number, because it can be changed into a prime (13133111133139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6690545 + ... + 8427906.

It is an arithmetic number, because the mean of its divisors is an integer number (902934427248).

Almost surely, 2^{13133111133131} is an apocalyptic number.

13133111133131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13133111133131 is a deficient number, since it is larger than the sum of its proper divisors (1313839702837).

13133111133131 is a wasteful number, since it uses less digits than its factorization.

13133111133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15119122.

The product of its digits is 729, while the sum is 26.

It can be divided in two parts, 1313311 and 1133131, that added together give a palindrome (2446442).

The spelling of 13133111133131 in words is "thirteen trillion, one hundred thirty-three billion, one hundred eleven million, one hundred thirty-three thousand, one hundred thirty-one".