13002620031 has 24 divisors (see below), whose sum is σ = 19428012240. Its totient is φ = 8373424896.

The previous prime is 13002619937. The next prime is 13002620041.

13002620031 is a `hidden beast` number, since 13 + 0 + 0 + 2 + 620 + 0 + 31 = 666.

13002620031 is nontrivially palindromic in base 10.

13002620031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13002620031 - 2¹⁸ = 13002357887 is a prime.

It is a super-2 number, since 2×13002620031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13002619986 and 13002620013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002620041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94170 + ... + 186743.

It is an arithmetic number, because the mean of its divisors is an integer number (809500510).

Almost surely, 2^13002620031 is an apocalyptic number.

13002620031 is a deficient number, since it is larger than the sum of its proper divisors (6425392209).

13002620031 is a wasteful number, since it uses less digits than its factorization.

13002620031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281095 (or 281092 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The spelling of 13002620031 in words is "thirteen billion, two million, six hundred twenty thousand, thirty-one".