311013101344 has 48 divisors (see below), whose sum is σ = 668446460640. Its totient is φ = 141269032960.

The previous prime is 311013101341. The next prime is 311013101459. The reversal of 311013101344 is 443101310113.

It is a super-2 number, since 2×311013101344² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (311013101341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182427 + ... + 809509.

It is an arithmetic number, because the mean of its divisors is an integer number (13925967930).

Almost surely, 2^311013101344 is an apocalyptic number.

It is an amenable number.

311013101344 is an abundant number, since it is smaller than the sum of its proper divisors (357433359296).

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

311013101344 is a wasteful number, since it uses less digits than its factorization.

311013101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628513 (or 628505 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 311013101344 its reverse (443101310113), we get a palindrome (754114411457).

The spelling of 311013101344 in words is "three hundred eleven billion, thirteen million, one hundred one thousand, three hundred forty-four".