13120322302131 has 128 divisors (see below), whose sum is σ = 20124198420480. Its totient is φ = 7533149299200.

The previous prime is 13120322302063. The next prime is 13120322302141.

13120322302131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13120322302131 - 2¹¹ = 13120322300083 is a prime.

It is a super-2 number, since 2×13120322302131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13120322302141) 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 127 ways as a sum of consecutive naturals, for example, 2373856890 + ... + 2373862416.

It is an arithmetic number, because the mean of its divisors is an integer number (157220300160).

Almost surely, 2^{13120322302131} is an apocalyptic number.

13120322302131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13120322302131 is a deficient number, since it is larger than the sum of its proper divisors (7003876118349).

13120322302131 is a wasteful number, since it uses less digits than its factorization.

13120322302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1312032 and 2302131, that added together give a palindrome (3614163).

The spelling of 13120322302131 in words is "thirteen trillion, one hundred twenty billion, three hundred twenty-two million, three hundred two thousand, one hundred thirty-one".