131000331414320 has 80 divisors (see below), whose sum is σ = 307720530979680. Its totient is φ = 51859115384832.

The previous prime is 131000331414311. The next prime is 131000331414361. The reversal of 131000331414320 is 23414133000131.

131000331414320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131000331414320² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131000331414320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851885759 + ... + 852039521.

It is an arithmetic number, because the mean of its divisors is an integer number (3846506637246).

Almost surely, 2^{131000331414320} is an apocalyptic number.

131000331414320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000331414320 is an abundant number, since it is smaller than the sum of its proper divisors (176720199565360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131000331414320 is a wasteful number, since it uses less digits than its factorization.

131000331414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263662 (or 263656 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 131000331414320 its reverse (23414133000131), we get a palindrome (154414464414451).

The spelling of 131000331414320 in words is "one hundred thirty-one trillion, three hundred thirty-one million, four hundred fourteen thousand, three hundred twenty".