13162300326131 has 32 divisors (see below), whose sum is σ = 15351028070400. Its totient is φ = 11167412256000.

The previous prime is 13162300326127. The next prime is 13162300326151.

13162300326131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13162300326131 - 2² = 13162300326127 is a prime.

It is a super-2 number, since 2×13162300326131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13162300326121) 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 31 ways as a sum of consecutive naturals, for example, 7719911 + ... + 9269391.

It is an arithmetic number, because the mean of its divisors is an integer number (479719627200).

Almost surely, 2^{13162300326131} is an apocalyptic number.

13162300326131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13162300326131 is a deficient number, since it is larger than the sum of its proper divisors (2188727744269).

13162300326131 is a wasteful number, since it uses less digits than its factorization.

13162300326131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550411.

The product of its (nonzero) digits is 11664, while the sum is 32.

It can be divided in two parts, 13162300 and 326131, that added together give a palindrome (13488431).

The spelling of 13162300326131 in words is "thirteen trillion, one hundred sixty-two billion, three hundred million, three hundred twenty-six thousand, one hundred thirty-one".