213313310120 has 64 divisors (see below), whose sum is σ = 495983831040. Its totient is φ = 82481817600.

The previous prime is 213313310117. The next prime is 213313310143. The reversal of 213313310120 is 21013313312.

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 = 213313310092 and 213313310101.

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, 1035224 + ... + 1224056.

It is an arithmetic number, because the mean of its divisors is an integer number (7749747360).

Almost surely, 2^213313310120 is an apocalyptic number.

213313310120 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 213313310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247991915520).

213313310120 is an abundant number, since it is smaller than the sum of its proper divisors (282670520920).

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

213313310120 is a wasteful number, since it uses less digits than its factorization.

213313310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189786 (or 189782 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 213313310120 its reverse (21013313312), we get a palindrome (234326623432).

The spelling of 213313310120 in words is "two hundred thirteen billion, three hundred thirteen million, three hundred ten thousand, one hundred twenty".