131312516235264 has 1792 divisors, whose sum is σ = 501568735651200. Its totient is φ = 33421617266688.

The previous prime is 131312516235239. The next prime is 131312516235289. The reversal of 131312516235264 is 462532615213131.

131312516235264 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 2 + 516 + 23 + 52 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (131312516235239) and next prime (131312516235289).

It is a tau number, because it is divible by the number of its divisors (1792).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 63040093167 + ... + 63040095249.

Almost surely, 2^{131312516235264} is an apocalyptic number.

131312516235264 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 131312516235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250784367825600).

131312516235264 is an abundant number, since it is smaller than the sum of its proper divisors (370256219415936).

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

131312516235264 is an frugal number, since it uses more digits than its factorization.

131312516235264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2137 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 131312516235264 in words is "one hundred thirty-one trillion, three hundred twelve billion, five hundred sixteen million, two hundred thirty-five thousand, two hundred sixty-four".