213507138413 has 2 divisors, whose sum is σ = 213507138414. Its totient is φ = 213507138412.

The previous prime is 213507138353. The next prime is 213507138479. The reversal of 213507138413 is 314831705312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212467527364 + 1039611049 = 460942^2 + 32243^2 .

It is a cyclic number.

It is not a de Polignac number, because 213507138413 - 2¹² = 213507134317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213507138613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106753569206 + 106753569207.

It is an arithmetic number, because the mean of its divisors is an integer number (106753569207).

Almost surely, 2^213507138413 is an apocalyptic number.

It is an amenable number.

213507138413 is a deficient number, since it is larger than the sum of its proper divisors (1).

213507138413 is an equidigital number, since it uses as much as digits as its factorization.

213507138413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 213507138413 in words is "two hundred thirteen billion, five hundred seven million, one hundred thirty-eight thousand, four hundred thirteen".