31313412124120 has 128 divisors (see below), whose sum is σ = 83122105651200. Its totient is φ = 10389143923200.

The previous prime is 31313412124091. The next prime is 31313412124133. The reversal of 31313412124120 is 2142121431313.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 180361755 + ... + 180535285.

It is an arithmetic number, because the mean of its divisors is an integer number (649391450400).

Almost surely, 2^{31313412124120} 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 31313412124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41561052825600).

31313412124120 is an abundant number, since it is smaller than the sum of its proper divisors (51808693527080).

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

31313412124120 is a wasteful number, since it uses less digits than its factorization.

31313412124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194369 (or 194365 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 31313412124120 its reverse (2142121431313), we get a palindrome (33455533555433).

The spelling of 31313412124120 in words is "thirty-one trillion, three hundred thirteen billion, four hundred twelve million, one hundred twenty-four thousand, one hundred twenty".