31322210013220 has 120 divisors (see below), whose sum is σ = 77494611588408. Its totient is φ = 10632714624000.

The previous prime is 31322210013191. The next prime is 31322210013229. The reversal of 31322210013220 is 2231001222313.

It can be written as a sum of positive squares in 4 ways, for example, as 21476032082176 + 9846177931044 = 4634224^2 + 3137862^2 .

It is a super-2 number, since 2×31322210013220² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31322210013191 and 31322210013200.

It is not an unprimeable number, because it can be changed into a prime (31322210013229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1620940 + ... + 8079100.

Almost surely, 2^{31322210013220} 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 31322210013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38747305794204).

31322210013220 is an abundant number, since it is smaller than the sum of its proper divisors (46172401575188).

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

31322210013220 is a wasteful number, since it uses less digits than its factorization.

31322210013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458299 (or 6458276 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 31322210013220 its reverse (2231001222313), we get a palindrome (33553211235533).

The spelling of 31322210013220 in words is "thirty-one trillion, three hundred twenty-two billion, two hundred ten million, thirteen thousand, two hundred twenty".