31303302120 has 160 divisors (see below), whose sum is σ = 105303904200. Its totient is φ = 8340406272.

The previous prime is 31303302103. The next prime is 31303302127. The reversal of 31303302120 is 2120330313.

31303302120 is a `hidden beast` number, since 313 + 0 + 330 + 2 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5228157636 + 26075144484 = 72306^2 + 161478^2 .

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 = 31303302093 and 31303302102.

It is not an unprimeable number, because it can be changed into a prime (31303302127) 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, 4561732 + ... + 4568588.

Almost surely, 2^31303302120 is an apocalyptic number.

31303302120 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 31303302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52651952100).

31303302120 is an abundant number, since it is smaller than the sum of its proper divisors (74000602080).

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

31303302120 is a wasteful number, since it uses less digits than its factorization.

31303302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8289 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31303302120 its reverse (2120330313), we get a palindrome (33423632433).

The spelling of 31303302120 in words is "thirty-one billion, three hundred three million, three hundred two thousand, one hundred twenty".