131123790720 has 384 divisors, whose sum is σ = 516304938240. Its totient is φ = 30377705472.

The previous prime is 131123790661. The next prime is 131123790739. The reversal of 131123790720 is 27097321131.

It is a happy number.

131123790720 is a `hidden beast` number, since 1 + 311 + 237 + 90 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1221457 + ... + 1324463.

It is an arithmetic number, because the mean of its divisors is an integer number (1344544110).

Almost surely, 2^131123790720 is an apocalyptic number.

131123790720 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 131123790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258152469120).

131123790720 is an abundant number, since it is smaller than the sum of its proper divisors (385181147520).

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

131123790720 is a wasteful number, since it uses less digits than its factorization.

131123790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103062 (or 103047 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 131123790720 in words is "one hundred thirty-one billion, one hundred twenty-three million, seven hundred ninety thousand, seven hundred twenty".