313012311440 has 160 divisors (see below), whose sum is σ = 754991677440. Its totient is φ = 120609474048.

The previous prime is 313012311433. The next prime is 313012311467. The reversal of 313012311440 is 44113210313.

It is a super-2 number, since 2×313012311440² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93184481 + ... + 93187839.

It is an arithmetic number, because the mean of its divisors is an integer number (4718697984).

Almost surely, 2^313012311440 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 313012311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377495838720).

313012311440 is an abundant number, since it is smaller than the sum of its proper divisors (441979366000).

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

313012311440 is a wasteful number, since it uses less digits than its factorization.

313012311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 313012311440 its reverse (44113210313), we get a palindrome (357125521753).

The spelling of 313012311440 in words is "three hundred thirteen billion, twelve million, three hundred eleven thousand, four hundred forty".