31322311020 has 288 divisors, whose sum is σ = 127567964160. Its totient is φ = 6007841280.

The previous prime is 31322311001. The next prime is 31322311043. The reversal of 31322311020 is 2011322313.

31322311020 is a `hidden beast` number, since 31 + 322 + 311 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×31322311020² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31322310984 and 31322311002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93261 + ... + 267099.

It is an arithmetic number, because the mean of its divisors is an integer number (442944320).

Almost surely, 2^31322311020 is an apocalyptic number.

31322311020 is a gapful number since it is divisible by the number (30) 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 31322311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63783982080).

31322311020 is an abundant number, since it is smaller than the sum of its proper divisors (96245653140).

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

31322311020 is a wasteful number, since it uses less digits than its factorization.

31322311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173885 (or 173880 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31322311020 its reverse (2011322313), we get a palindrome (33333633333).

The spelling of 31322311020 in words is "thirty-one billion, three hundred twenty-two million, three hundred eleven thousand, twenty".