313257131712 has 252 divisors, whose sum is σ = 1045156106280. Its totient is φ = 89444984832.

The previous prime is 313257131699. The next prime is 313257131713. The reversal of 313257131712 is 217131752313.

313257131712 is a `hidden beast` number, since 3 + 1 + 325 + 7 + 1 + 317 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (313257131713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66239364 + ... + 66244092.

Almost surely, 2^313257131712 is an apocalyptic number.

313257131712 is a gapful number since it is divisible by the number (32) 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 313257131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522578053140).

313257131712 is an abundant number, since it is smaller than the sum of its proper divisors (731898974568).

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

313257131712 is a wasteful number, since it uses less digits than its factorization.

313257131712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108 (or 7088 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The spelling of 313257131712 in words is "three hundred thirteen billion, two hundred fifty-seven million, one hundred thirty-one thousand, seven hundred twelve".