213413232120 has 128 divisors (see below), whose sum is σ = 704216090880. Its totient is φ = 51736502400.

The previous prime is 213413232059. The next prime is 213413232127. The reversal of 213413232120 is 21232314312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213413232127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508366 + ... + 827805.

It is an arithmetic number, because the mean of its divisors is an integer number (5501688210).

Almost surely, 2^213413232120 is an apocalyptic number.

213413232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213413232120 is an abundant number, since it is smaller than the sum of its proper divisors (490802858760).

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

213413232120 is a wasteful number, since it uses less digits than its factorization.

213413232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336218 (or 1336192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213413232120 its reverse (21232314312), we get a palindrome (234645546432).

The spelling of 213413232120 in words is "two hundred thirteen billion, four hundred thirteen million, two hundred thirty-two thousand, one hundred twenty".