213131202320 has 80 divisors (see below), whose sum is σ = 511991373312. Its totient is φ = 82465743360.

The previous prime is 213131202301. The next prime is 213131202331. The reversal of 213131202320 is 23202131312.

213131202320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 213131202292 and 213131202301.

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, 52952 + ... + 655031.

Almost surely, 2^213131202320 is an apocalyptic number.

213131202320 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 213131202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255995686656).

213131202320 is an abundant number, since it is smaller than the sum of its proper divisors (298860170992).

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

213131202320 is a wasteful number, since it uses less digits than its factorization.

213131202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708120 (or 708114 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213131202320 its reverse (23202131312), we get a palindrome (236333333632).

The spelling of 213131202320 in words is "two hundred thirteen billion, one hundred thirty-one million, two hundred two thousand, three hundred twenty".