13001003301031 has 4 divisors (see below), whose sum is σ = 13035306740200. Its totient is φ = 12966699861864.

The previous prime is 13001003300963. The next prime is 13001003301043. The reversal of 13001003301031 is 13010330010031.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 13001003301031 - 2²⁵ = 13000969746599 is a prime.

It is a super-2 number, since 2×13001003301031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13001003300996 and 13001003301014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001003301431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17151719016 + ... + 17151719773.

It is an arithmetic number, because the mean of its divisors is an integer number (3258826685050).

Almost surely, 2^{13001003301031} is an apocalyptic number.

13001003301031 is a deficient number, since it is larger than the sum of its proper divisors (34303439169).

13001003301031 is an equidigital number, since it uses as much as digits as its factorization.

13001003301031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34303439168.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13001003301031 its reverse (13010330010031), we get a palindrome (26011333311062).

The spelling of 13001003301031 in words is "thirteen trillion, one billion, three million, three hundred one thousand, thirty-one".