213113137 has 2 divisors, whose sum is σ = 213113138. Its totient is φ = 213113136.

The previous prime is 213113111. The next prime is 213113143. The reversal of 213113137 is 731311312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146918641 + 66194496 = 12121^2 + 8136^2 .

It is a cyclic number.

It is not a de Polignac number, because 213113137 - 2¹⁵ = 213080369 is a prime.

It is not a weakly prime, because it can be changed into another prime (213113107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106556568 + 106556569.

It is an arithmetic number, because the mean of its divisors is an integer number (106556569).

Almost surely, 2^213113137 is an apocalyptic number.

It is an amenable number.

213113137 is a deficient number, since it is larger than the sum of its proper divisors (1).

213113137 is an equidigital number, since it uses as much as digits as its factorization.

213113137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 22.

The square root of 213113137 is about 14598.3950145213. The cubic root of 213113137 is about 597.3149810827.

Adding to 213113137 its reverse (731311312), we get a palindrome (944424449).

The spelling of 213113137 in words is "two hundred thirteen million, one hundred thirteen thousand, one hundred thirty-seven".