131411245495920 has 320 divisors, whose sum is σ = 455271137032320. Its totient is φ = 31133426171904.

The previous prime is 131411245495861. The next prime is 131411245495921. The reversal of 131411245495920 is 29594542114131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131411245495921) 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 63 ways as a sum of consecutive naturals, for example, 26391342 + ... + 30972978.

It is an arithmetic number, because the mean of its divisors is an integer number (1422722303226).

Almost surely, 2^{131411245495920} is an apocalyptic number.

131411245495920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131411245495920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227635568516160).

131411245495920 is an abundant number, since it is smaller than the sum of its proper divisors (323859891536400).

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

131411245495920 is a wasteful number, since it uses less digits than its factorization.

131411245495920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582012 (or 4582006 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 131411245495920 in words is "one hundred thirty-one trillion, four hundred eleven billion, two hundred forty-five million, four hundred ninety-five thousand, nine hundred twenty".