13000031032131 has 96 divisors (see below), whose sum is σ = 22197993172992. Its totient is φ = 7227506983680.

The previous prime is 13000031032099. The next prime is 13000031032181. The reversal of 13000031032131 is 13123013000031.

It is a happy number.

13000031032131 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 0 + 0 + 310 + 321 + 31 = 666.

It is not a de Polignac number, because 13000031032131 - 2⁵ = 13000031032099 is a prime.

It is a super-2 number, since 2×13000031032131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13000031032181) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 557283790 + ... + 557307116.

It is an arithmetic number, because the mean of its divisors is an integer number (231229095552).

Almost surely, 2^{13000031032131} is an apocalyptic number.

13000031032131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13000031032131 is a deficient number, since it is larger than the sum of its proper divisors (9197962140861).

13000031032131 is a wasteful number, since it uses less digits than its factorization.

13000031032131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26033 (or 26030 counting only the distinct ones).

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

Adding to 13000031032131 its reverse (13123013000031), we get a palindrome (26123044032162).

The spelling of 13000031032131 in words is "thirteen trillion, thirty-one million, thirty-two thousand, one hundred thirty-one".