13001313031 has 24 divisors (see below), whose sum is σ = 16009416720. Its totient is φ = 10509432192.

The previous prime is 13001313001. The next prime is 13001313053. The reversal of 13001313031 is 13031310031.

It is not a de Polignac number, because 13001313031 - 2¹³ = 13001304839 is a prime.

It is a super-2 number, since 2×13001313031² (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 = 13001312996 and 13001313014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001313001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45286 + ... + 167491.

It is an arithmetic number, because the mean of its divisors is an integer number (667059030).

Almost surely, 2^13001313031 is an apocalyptic number.

13001313031 is a deficient number, since it is larger than the sum of its proper divisors (3008103689).

13001313031 is a wasteful number, since it uses less digits than its factorization.

13001313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212863 (or 212856 counting only the distinct ones).

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

Adding to 13001313031 its reverse (13031310031), we get a palindrome (26032623062).

The spelling of 13001313031 in words is "thirteen billion, one million, three hundred thirteen thousand, thirty-one".