131201676387360 has 240 divisors, whose sum is σ = 463067131527000. Its totient is φ = 34984503189504.

The previous prime is 131201676387347. The next prime is 131201676387403. The reversal of 131201676387360 is 63783676102131.

131201676387360 is a `hidden beast` number, since 1 + 3 + 1 + 201 + 6 + 76 + 3 + 8 + 7 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44311015849104 + 86890660538256 = 6656652^2 + 9321516^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 131201676387297 and 131201676387306.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176520186 + ... + 177261894.

Almost surely, 2^{131201676387360} is an apocalyptic number.

131201676387360 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 131201676387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231533565763500).

131201676387360 is an abundant number, since it is smaller than the sum of its proper divisors (331865455139640).

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

131201676387360 is a wasteful number, since it uses less digits than its factorization.

131201676387360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755385 (or 755368 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 131201676387360 in words is "one hundred thirty-one trillion, two hundred one billion, six hundred seventy-six million, three hundred eighty-seven thousand, three hundred sixty".