313203743214552 has 384 divisors, whose sum is σ = 992856009600000. Its totient is φ = 91910070061056.

The previous prime is 313203743214539. The next prime is 313203743214563. The reversal of 313203743214552 is 255412347302313.

313203743214552 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 0 + 3 + 74 + 3 + 21 + 4 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 313203743214498 and 313203743214507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46448074 + ... + 52762022.

It is an arithmetic number, because the mean of its divisors is an integer number (2585562525000).

Almost surely, 2^{313203743214552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313203743214552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496428004800000).

313203743214552 is an abundant number, since it is smaller than the sum of its proper divisors (679652266385448).

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

313203743214552 is a wasteful number, since it uses less digits than its factorization.

313203743214552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6314085 (or 6314069 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 313203743214552 in words is "three hundred thirteen trillion, two hundred three billion, seven hundred forty-three million, two hundred fourteen thousand, five hundred fifty-two".