131313211203120 has 80 divisors (see below), whose sum is σ = 431016305021280. Its totient is φ = 32957041242112.

The previous prime is 131313211203113. The next prime is 131313211203157. The reversal of 131313211203120 is 21302112313131.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16092301215 + ... + 16092309374.

It is an arithmetic number, because the mean of its divisors is an integer number (5387703812766).

Almost surely, 2^{131313211203120} is an apocalyptic number.

131313211203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131313211203120 is an abundant number, since it is smaller than the sum of its proper divisors (299703093818160).

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

131313211203120 is a wasteful number, since it uses less digits than its factorization.

131313211203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32184610622 (or 32184610616 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131313211203120 its reverse (21302112313131), we get a palindrome (152615323516251).

The spelling of 131313211203120 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred eleven million, two hundred three thousand, one hundred twenty".