10013320031 has 24 divisors (see below), whose sum is σ = 11863546800. Its totient is φ = 8395326720.

The previous prime is 10013320003. The next prime is 10013320063. The reversal of 10013320031 is 13002331001.

It is not a de Polignac number, because 10013320031 - 2²² = 10009125727 is a prime.

It is a super-2 number, since 2×10013320031² (a number of 21 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 = 10013319988 and 10013320015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013320631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2440820 + ... + 2444918.

It is an arithmetic number, because the mean of its divisors is an integer number (494314450).

Almost surely, 2^10013320031 is an apocalyptic number.

10013320031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10013320031 is a deficient number, since it is larger than the sum of its proper divisors (1850226769).

10013320031 is a wasteful number, since it uses less digits than its factorization.

10013320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10013320031 its reverse (13002331001), we get a palindrome (23015651032).

The spelling of 10013320031 in words is "ten billion, thirteen million, three hundred twenty thousand, thirty-one".