131325099421152 has 384 divisors, whose sum is σ = 427149302307840. Its totient is φ = 34606165800960.

The previous prime is 131325099421079. The next prime is 131325099421163. The reversal of 131325099421152 is 251124990523131.

It is a happy number.

131325099421152 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1790817127 + ... + 1790890457.

It is an arithmetic number, because the mean of its divisors is an integer number (1112367974760).

Almost surely, 2^{131325099421152} is an apocalyptic number.

131325099421152 is a gapful number since it is divisible by the number (12) 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 131325099421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213574651153920).

131325099421152 is an abundant number, since it is smaller than the sum of its proper divisors (295824202886688).

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

131325099421152 is a wasteful number, since it uses less digits than its factorization.

131325099421152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74603 (or 74569 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 131325099421152 in words is "one hundred thirty-one trillion, three hundred twenty-five billion, ninety-nine million, four hundred twenty-one thousand, one hundred fifty-two".