202331303120 has 80 divisors (see below), whose sum is σ = 498354152400. Its totient is φ = 76131704832.

The previous prime is 202331303113. The next prime is 202331303147. The reversal of 202331303120 is 21303133202.

It can be written as a sum of positive squares in 8 ways, for example, as 1777802896 + 200553500224 = 42164^2 + 447832^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202331303092 and 202331303101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2612474 + ... + 2688806.

It is an arithmetic number, because the mean of its divisors is an integer number (6229426905).

Almost surely, 2^202331303120 is an apocalyptic number.

202331303120 is a gapful number since it is divisible by the number (20) 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 202331303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249177076200).

202331303120 is an abundant number, since it is smaller than the sum of its proper divisors (296022849280).

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

202331303120 is a wasteful number, since it uses less digits than its factorization.

202331303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78312 (or 78306 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 202331303120 its reverse (21303133202), we get a palindrome (223634436322).

The spelling of 202331303120 in words is "two hundred two billion, three hundred thirty-one million, three hundred three thousand, one hundred twenty".