31312114340120 has 128 divisors (see below), whose sum is σ = 73760881582080. Its totient is φ = 11948790720000.

The previous prime is 31312114340107. The next prime is 31312114340141. The reversal of 31312114340120 is 2104341121313.

It is a super-2 number, since 2×31312114340120² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31312114340120.

It is a congruent number.

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, 47116145 + ... + 47776095.

It is an arithmetic number, because the mean of its divisors is an integer number (576256887360).

Almost surely, 2^{31312114340120} 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 31312114340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36880440791040).

31312114340120 is an abundant number, since it is smaller than the sum of its proper divisors (42448767241960).

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

31312114340120 is a wasteful number, since it uses less digits than its factorization.

31312114340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660537 (or 660533 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 31312114340120 its reverse (2104341121313), we get a palindrome (33416455461433).

The spelling of 31312114340120 in words is "thirty-one trillion, three hundred twelve billion, one hundred fourteen million, three hundred forty thousand, one hundred twenty".