313530996506112 has 640 divisors, whose sum is σ = 1169007708718080. Its totient is φ = 80597043118080.

The previous prime is 313530996506087. The next prime is 313530996506137. The reversal of 313530996506112 is 211605699035313.

313530996506112 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 30 + 9 + 96 + 506 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (313530996506087) and next prime (313530996506137).

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

It is a congruent number.

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, 101733168 + ... + 104769744.

It is an arithmetic number, because the mean of its divisors is an integer number (1826574544872).

Almost surely, 2^{313530996506112} is an apocalyptic number.

313530996506112 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 313530996506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584503854359040).

313530996506112 is an abundant number, since it is smaller than the sum of its proper divisors (855476712211968).

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

313530996506112 is a wasteful number, since it uses less digits than its factorization.

313530996506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036719 (or 3036697 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 313530996506112 in words is "three hundred thirteen trillion, five hundred thirty billion, nine hundred ninety-six million, five hundred six thousand, one hundred twelve".