31312032333312 has 320 divisors, whose sum is σ = 88285491081216. Its totient is φ = 9842014617600.

The previous prime is 31312032333251. The next prime is 31312032333313. The reversal of 31312032333312 is 21333323021313.

It is a super-2 number, since 2×31312032333312² (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 31312032333312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312032333313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 831354993 + ... + 831392655.

Almost surely, 2^{31312032333312} is an apocalyptic number.

31312032333312 is a gapful number since it is divisible by the number (32) 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 31312032333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44142745540608).

31312032333312 is an abundant number, since it is smaller than the sum of its proper divisors (56973458747904).

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

31312032333312 is a wasteful number, since it uses less digits than its factorization.

31312032333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38041 (or 38025 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 31312032333312 its reverse (21333323021313), we get a palindrome (52645355354625).

The spelling of 31312032333312 in words is "thirty-one trillion, three hundred twelve billion, thirty-two million, three hundred thirty-three thousand, three hundred twelve".