131316360192 has 528 divisors, whose sum is σ = 428109252480. Its totient is φ = 40036073472.

The previous prime is 131316360137. The next prime is 131316360211. The reversal of 131316360192 is 291063613131.

It is a happy number.

131316360192 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 636 + 0 + 19 + 2 = 666.

131316360192 is digitally balanced in base 3, 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 (36).

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, 156514909 + ... + 156515747.

Almost surely, 2^131316360192 is an apocalyptic number.

131316360192 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 131316360192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214054626240).

131316360192 is an abundant number, since it is smaller than the sum of its proper divisors (296792892288).

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

131316360192 is an equidigital number, since it uses as much as digits as its factorization.

131316360192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 131316360192 in words is "one hundred thirty-one billion, three hundred sixteen million, three hundred sixty thousand, one hundred ninety-two".