31313200311312 has 80 divisors (see below), whose sum is σ = 82637946904320. Its totient is φ = 10212637152256.

The previous prime is 31313200311293. The next prime is 31313200311361. The reversal of 31313200311312 is 21311300231313.

It is a super-2 number, since 2×31313200311312² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5597788 + ... + 9693380.

It is an arithmetic number, because the mean of its divisors is an integer number (1032974336304).

Almost surely, 2^{31313200311312} 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 31313200311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41318973452160).

31313200311312 is an abundant number, since it is smaller than the sum of its proper divisors (51324746593008).

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

31313200311312 is a wasteful number, since it uses less digits than its factorization.

31313200311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099040 (or 4099034 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 31313200311312 its reverse (21311300231313), we get a palindrome (52624500542625).

The spelling of 31313200311312 in words is "thirty-one trillion, three hundred thirteen billion, two hundred million, three hundred eleven thousand, three hundred twelve".