213580013 has 2 divisors, whose sum is σ = 213580014. Its totient is φ = 213580012.

The previous prime is 213580009. The next prime is 213580043. The reversal of 213580013 is 310085312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198190084 + 15389929 = 14078^2 + 3923^2 .

It is a cyclic number.

It is not a de Polignac number, because 213580013 - 2² = 213580009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213580043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106790006 + 106790007.

It is an arithmetic number, because the mean of its divisors is an integer number (106790007).

Almost surely, 2^213580013 is an apocalyptic number.

It is an amenable number.

213580013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213580013 is an equidigital number, since it uses as much as digits as its factorization.

213580013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 213580013 is about 14614.3769282170. The cubic root of 213580013 is about 597.7508507103.

The spelling of 213580013 in words is "two hundred thirteen million, five hundred eighty thousand, thirteen".