313131110344320 has 512 divisors, whose sum is σ = 1026724429543680. Its totient is φ = 81141445951488.

The previous prime is 313131110344201. The next prime is 313131110344337. The reversal of 313131110344320 is 23443011131313.

It is a happy number.

It is a super-3 number, since 3×313131110344320³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4458172242 + ... + 4458242478.

Almost surely, 2^{313131110344320} is an apocalyptic number.

313131110344320 is a gapful number since it is divisible by the number (30) 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 313131110344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513362214771840).

313131110344320 is an abundant number, since it is smaller than the sum of its proper divisors (713593319199360).

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

313131110344320 is a wasteful number, since it uses less digits than its factorization.

313131110344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70732 (or 70720 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 313131110344320 its reverse (23443011131313), we get a palindrome (336574121475633).

The spelling of 313131110344320 in words is "three hundred thirteen trillion, one hundred thirty-one billion, one hundred ten million, three hundred forty-four thousand, three hundred twenty".