13132011023131 has 32 divisors (see below), whose sum is σ = 17632241399808. Its totient is φ = 9445361063040.

The previous prime is 13132011023111. The next prime is 13132011023171.

13132011023131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13132011023131 - 2⁵ = 13132011023099 is a prime.

It is a super-2 number, since 2×13132011023131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13132011023111) 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, 45163345 + ... + 45453181.

It is an arithmetic number, because the mean of its divisors is an integer number (551007543744).

Almost surely, 2^{13132011023131} is an apocalyptic number.

13132011023131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13132011023131 is a deficient number, since it is larger than the sum of its proper divisors (4500230376677).

13132011023131 is a wasteful number, since it uses less digits than its factorization.

13132011023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335131.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 1313201 and 1023131, that added together give a palindrome (2336332).

The spelling of 13132011023131 in words is "thirteen trillion, one hundred thirty-two billion, eleven million, twenty-three thousand, one hundred thirty-one".