13131000013031 has 16 divisors (see below), whose sum is σ = 13463260521984. Its totient is φ = 12801919731744.

The previous prime is 13131000013009. The next prime is 13131000013039. The reversal of 13131000013031 is 13031000013131.

It is a cyclic number.

It is not a de Polignac number, because 13131000013031 - 2²² = 13130995818727 is a prime.

It is a super-2 number, since 2×13131000013031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131000013039) 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, 27047030 + ... + 27528236.

It is an arithmetic number, because the mean of its divisors is an integer number (841453782624).

Almost surely, 2^{13131000013031} is an apocalyptic number.

13131000013031 is a deficient number, since it is larger than the sum of its proper divisors (332260508953).

13131000013031 is a wasteful number, since it uses less digits than its factorization.

13131000013031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484510.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13131000013031 its reverse (13031000013131), we get a palindrome (26162000026162).

The spelling of 13131000013031 in words is "thirteen trillion, one hundred thirty-one billion, thirteen thousand, thirty-one".