31313344140 has 432 divisors, whose sum is σ = 109897010496. Its totient is φ = 7188480000.

The previous prime is 31313344133. The next prime is 31313344159. The reversal of 31313344140 is 4144331313.

31313344140 is a `hidden beast` number, since 3 + 1 + 313 + 344 + 1 + 4 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 78087940 + ... + 78088340.

It is an arithmetic number, because the mean of its divisors is an integer number (254391228).

Almost surely, 2^31313344140 is an apocalyptic number.

31313344140 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 31313344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54948505248).

31313344140 is an abundant number, since it is smaller than the sum of its proper divisors (78583666356).

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

31313344140 is a wasteful number, since it uses less digits than its factorization.

31313344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31313344140 its reverse (4144331313), we get a palindrome (35457675453).

The spelling of 31313344140 in words is "thirty-one billion, three hundred thirteen million, three hundred forty-four thousand, one hundred forty".