13001010031 has 4 divisors (see below), whose sum is σ = 13076160552. Its totient is φ = 12925859512.

The previous prime is 13001009963. The next prime is 13001010041.

13001010031 is nontrivially palindromic in base 10.

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 13001010031 - 2⁹ = 13001009519 is a prime.

It is a super-2 number, since 2×13001010031² (a number of 21 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 (13001010041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37575001 + ... + 37575346.

It is an arithmetic number, because the mean of its divisors is an integer number (3269040138).

Almost surely, 2^13001010031 is an apocalyptic number.

13001010031 is a deficient number, since it is larger than the sum of its proper divisors (75150521).

13001010031 is an equidigital number, since it uses as much as digits as its factorization.

13001010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75150520.

The product of its (nonzero) digits is 9, while the sum is 10.

It can be divided in two parts, 130010 and 10031, that added together give a palindrome (140041).

The spelling of 13001010031 in words is "thirteen billion, one million, ten thousand, thirty-one".