131362053713280 has 512 divisors, whose sum is σ = 505462322736000. Its totient is φ = 32049115693056.

The previous prime is 131362053713279. The next prime is 131362053713323. The reversal of 131362053713280 is 82317350263131.

131362053713280 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 6 + 2 + 0 + 537 + 1 + 32 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 22796856 + ... + 27971784.

Almost surely, 2^{131362053713280} is an apocalyptic number.

131362053713280 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 131362053713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252731161368000).

131362053713280 is an abundant number, since it is smaller than the sum of its proper divisors (374100269022720).

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

131362053713280 is a wasteful number, since it uses less digits than its factorization.

131362053713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175083 (or 5175065 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 131362053713280 in words is "one hundred thirty-one trillion, three hundred sixty-two billion, fifty-three million, seven hundred thirteen thousand, two hundred eighty".