31321100221312 has 128 divisors (see below), whose sum is σ = 71693405856000. Its totient is φ = 13490598359040.

The previous prime is 31321100221253. The next prime is 31321100221319. The reversal of 31321100221312 is 21312200112313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×31321100221312² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31321100221319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054437 + ... + 7984612.

It is an arithmetic number, because the mean of its divisors is an integer number (560104733250).

Almost surely, 2^{31321100221312} is an apocalyptic number.

31321100221312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31321100221312 is an abundant number, since it is smaller than the sum of its proper divisors (40372305634688).

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

31321100221312 is a wasteful number, since it uses less digits than its factorization.

31321100221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9039204 (or 9039192 counting only the distinct ones).

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

Adding to 31321100221312 its reverse (21312200112313), we get a palindrome (52633300333625).

The spelling of 31321100221312 in words is "thirty-one trillion, three hundred twenty-one billion, one hundred million, two hundred twenty-one thousand, three hundred twelve".