213113313 has 24 divisors (see below), whose sum is σ = 363158016. Its totient is φ = 117849600.

The previous prime is 213113297. The next prime is 213113317. The reversal of 213113313 is 313311312.

It is a happy number.

213113313 is a `hidden beast` number, since 21 + 311 + 331 + 3 = 666.

It is not a de Polignac number, because 213113313 - 2⁴ = 213113297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213113317) 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, 52608 + ... + 56513.

It is an arithmetic number, because the mean of its divisors is an integer number (15131584).

Almost surely, 2^213113313 is an apocalyptic number.

It is an amenable number.

213113313 is a deficient number, since it is larger than the sum of its proper divisors (150044703).

213113313 is a wasteful number, since it uses less digits than its factorization.

213113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109165 (or 109162 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 213113313 is about 14598.4010425800. The cubic root of 213113313 is about 597.3151455140.

Adding to 213113313 its reverse (313311312), we get a palindrome (526424625).

It can be divided in two parts, 213 and 113313, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 213113313 in words is "two hundred thirteen million, one hundred thirteen thousand, three hundred thirteen".