131364317005824 has 768 divisors, whose sum is σ = 409040542310400. Its totient is φ = 36719429419008.

The previous prime is 131364317005711. The next prime is 131364317005849. The reversal of 131364317005824 is 428500713463131.

It is a tau number, because it is divible by the number of its divisors (768).

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

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, 258083137282 + ... + 258083137790.

It is an arithmetic number, because the mean of its divisors is an integer number (532604872800).

Almost surely, 2^{131364317005824} is an apocalyptic number.

131364317005824 is a gapful number since it is divisible by the number (14) 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 131364317005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204520271155200).

131364317005824 is an abundant number, since it is smaller than the sum of its proper divisors (277676225304576).

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

131364317005824 is a wasteful number, since it uses less digits than its factorization.

131364317005824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 131364317005824 in words is "one hundred thirty-one trillion, three hundred sixty-four billion, three hundred seventeen million, five thousand, eight hundred twenty-four".