213131313 has 6 divisors (see below), whose sum is σ = 307856354. Its totient is φ = 142087536.

The previous prime is 213131309. The next prime is 213131327. The reversal of 213131313 is 313131312.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 164019249 + 49112064 = 12807^2 + 7008^2 .

It is not a de Polignac number, because 213131313 - 2² = 213131309 is a prime.

It is a super-2 number, since 2×213131313² = 90849913162207938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213131333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11840620 + ... + 11840637.

Almost surely, 2^213131313 is an apocalyptic number.

It is an amenable number.

213131313 is a deficient number, since it is larger than the sum of its proper divisors (94725041).

213131313 is a wasteful number, since it uses less digits than its factorization.

213131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23681263 (or 23681260 counting only the distinct ones).

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

The square root of 213131313 is about 14599.0175354371. The cubic root of 213131313 is about 597.3319618730.

Adding to 213131313 its reverse (313131312), we get a palindrome (526262625).

Subtracting 213131313 from its reverse (313131312), we obtain a palindrome (99999999).

It can be divided in two parts, 213131 and 313, that added together give a square (213444 = 462²).

The spelling of 213131313 in words is "two hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".