213301413 has 24 divisors (see below), whose sum is σ = 332323992. Its totient is φ = 131056128.

The previous prime is 213301381. The next prime is 213301427. The reversal of 213301413 is 314103312.

It can be written as a sum of positive squares in 4 ways, for example, as 27060804 + 186240609 = 5202^2 + 13647^2 .

It is not a de Polignac number, because 213301413 - 2⁵ = 213301381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213301433) 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, 110545 + ... + 112457.

It is an arithmetic number, because the mean of its divisors is an integer number (13846833).

Almost surely, 2^213301413 is an apocalyptic number.

It is an amenable number.

213301413 is a deficient number, since it is larger than the sum of its proper divisors (119022579).

213301413 is a wasteful number, since it uses less digits than its factorization.

213301413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 213301413 is about 14604.8421080134. The cubic root of 213301413 is about 597.4908297350.

Adding to 213301413 its reverse (314103312), we get a palindrome (527404725).

The spelling of 213301413 in words is "two hundred thirteen million, three hundred one thousand, four hundred thirteen".