313023013101988 has 96 divisors (see below), whose sum is σ = 665742559749120. Its totient is φ = 125714813952000.

The previous prime is 313023013101949. The next prime is 313023013101989. The reversal of 313023013101988 is 889101310320313.

It is a super-2 number, since 2×313023013101988² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313023013101989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796265256 + ... + 796658272.

It is an arithmetic number, because the mean of its divisors is an integer number (6934818330720).

Almost surely, 2^{313023013101988} 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 313023013101988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332871279874560).

313023013101988 is an abundant number, since it is smaller than the sum of its proper divisors (352719546647132).

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

313023013101988 is a wasteful number, since it uses less digits than its factorization.

313023013101988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400285 (or 400283 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 313023013101988 in words is "three hundred thirteen trillion, twenty-three billion, thirteen million, one hundred one thousand, nine hundred eighty-eight".