313311001099968 has 168 divisors, whose sum is σ = 958629473867520. Its totient is φ = 97546790315520.

The previous prime is 313311001099939. The next prime is 313311001099981. The reversal of 313311001099968 is 869990100113313.

313311001099968 is a `hidden beast` number, since 31 + 331 + 100 + 1 + 0 + 99 + 96 + 8 = 666.

It is a super-4 number, since 4×313311001099968⁴ (a number of 59 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200832580 + ... + 202386627.

It is an arithmetic number, because the mean of its divisors is an integer number (5706127820640).

Almost surely, 2^{313311001099968} is an apocalyptic number.

313311001099968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

313311001099968 is an abundant number, since it is smaller than the sum of its proper divisors (645318472767552).

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

313311001099968 is a wasteful number, since it uses less digits than its factorization.

313311001099968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403219315 (or 403219302 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 313311001099968 in words is "three hundred thirteen trillion, three hundred eleven billion, one million, ninety-nine thousand, nine hundred sixty-eight".