13000055000031 has 12 divisors (see below), whose sum is σ = 20484935151720. Its totient is φ = 7878821212080.

The previous prime is 13000054999963. The next prime is 13000055000087.

It is a happy number.

13000055000031 is a `hidden beast` number, since 130 + 0 + 0 + 0 + 5 + 500 + 0 + 0 + 31 = 666.

13000055000031 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-13000055000031 is a prime.

It is a super-2 number, since 2×13000055000031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13000054999968 and 13000055000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000055000731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65656843336 + ... + 65656843533.

It is an arithmetic number, because the mean of its divisors is an integer number (1707077929310).

Almost surely, 2^{13000055000031} is an apocalyptic number.

13000055000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13000055000031 is a deficient number, since it is larger than the sum of its proper divisors (7484880151689).

13000055000031 is a wasteful number, since it uses less digits than its factorization.

13000055000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131313686886 (or 131313686883 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

It can be divided in two parts, 1300005 and 5000031, that added together give a palindrome (6300036).

The spelling of 13000055000031 in words is "thirteen trillion, fifty-five million, thirty-one", and thus it is an aban number and an uban number.