202013313120 has 120 divisors (see below), whose sum is σ = 712938696624. Its totient is φ = 53870213376.

The previous prime is 202013313109. The next prime is 202013313149. The reversal of 202013313120 is 21313310202.

202013313120 is a `hidden beast` number, since 2 + 0 + 20 + 1 + 331 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 202013313093 and 202013313102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7780764 + ... + 7806683.

Almost surely, 2^202013313120 is an apocalyptic number.

202013313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202013313120 is an abundant number, since it is smaller than the sum of its proper divisors (510925383504).

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

202013313120 is a wasteful number, since it uses less digits than its factorization.

202013313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15587474 (or 15587457 counting only the distinct ones).

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

Adding to 202013313120 its reverse (21313310202), we get a palindrome (223326623322).

The spelling of 202013313120 in words is "two hundred two billion, thirteen million, three hundred thirteen thousand, one hundred twenty".