213122312013 has 32 divisors (see below), whose sum is σ = 324069379200. Its totient is φ = 123419713536.

The previous prime is 213122311999. The next prime is 213122312041. The reversal of 213122312013 is 310213221312.

It is not a de Polignac number, because 213122312013 - 2⁵ = 213122311981 is a prime.

It is a super-2 number, since 2×213122312013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213122312813) 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, 5689098 + ... + 5726436.

It is an arithmetic number, because the mean of its divisors is an integer number (10127168100).

Almost surely, 2^213122312013 is an apocalyptic number.

It is an amenable number.

213122312013 is a deficient number, since it is larger than the sum of its proper divisors (110947067187).

213122312013 is a wasteful number, since it uses less digits than its factorization.

213122312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45981.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213122312013 its reverse (310213221312), we get a palindrome (523335533325).

The spelling of 213122312013 in words is "two hundred thirteen billion, one hundred twenty-two million, three hundred twelve thousand, thirteen".