213131122120 has 96 divisors (see below), whose sum is σ = 578414692800. Its totient is φ = 69227519616.

The previous prime is 213131122117. The next prime is 213131122129. The reversal of 213131122120 is 21221131312.

It is a super-2 number, since 2×213131122120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (213131122129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953190 + ... + 1155349.

It is an arithmetic number, because the mean of its divisors is an integer number (6025153050).

Almost surely, 2^213131122120 is an apocalyptic number.

213131122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213131122120 is an abundant number, since it is smaller than the sum of its proper divisors (365283570680).

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

213131122120 is a wasteful number, since it uses less digits than its factorization.

213131122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108595 (or 2108572 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 213131122120 its reverse (21221131312), we get a palindrome (234352253432).

The spelling of 213131122120 in words is "two hundred thirteen billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred twenty".