31321220011312 has 160 divisors (see below), whose sum is σ = 75754277844480. Its totient is φ = 12187723560960.

The previous prime is 31321220011309. The next prime is 31321220011337. The reversal of 31321220011312 is 21311002212313.

It is a super-2 number, since 2×31321220011312² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 5939921508 + ... + 5939926780.

It is an arithmetic number, because the mean of its divisors is an integer number (473464236528).

Almost surely, 2^{31321220011312} 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 31321220011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37877138922240).

31321220011312 is an abundant number, since it is smaller than the sum of its proper divisors (44433057833168).

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

31321220011312 is a wasteful number, since it uses less digits than its factorization.

31321220011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10451 (or 10445 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 31321220011312 its reverse (21311002212313), we get a palindrome (52632222223625).

The spelling of 31321220011312 in words is "thirty-one trillion, three hundred twenty-one billion, two hundred twenty million, eleven thousand, three hundred twelve".