213130111120 has 80 divisors (see below), whose sum is σ = 529871340528. Its totient is φ = 79442739200.

The previous prime is 213130111097. The next prime is 213130111127. The reversal of 213130111120 is 21111031312.

It is a happy number.

213130111120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 23675361424 + 189454749696 = 153868^2 + 435264^2 .

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 213130111094 and 213130111103.

It is not an unprimeable number, because it can be changed into a prime (213130111127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638449 + ... + 913168.

Almost surely, 2^213130111120 is an apocalyptic number.

213130111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213130111120 is an abundant number, since it is smaller than the sum of its proper divisors (316741229408).

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

213130111120 is a wasteful number, since it uses less digits than its factorization.

213130111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551748 (or 1551742 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 213130111120 its reverse (21111031312), we get a palindrome (234241142432).

The spelling of 213130111120 in words is "two hundred thirteen billion, one hundred thirty million, one hundred eleven thousand, one hundred twenty".