213002111313 has 12 divisors (see below), whose sum is σ = 307963028100. Its totient is φ = 141866032896.

The previous prime is 213002111237. The next prime is 213002111317. The reversal of 213002111313 is 313111200312.

213002111313 is a `hidden beast` number, since 21 + 300 + 21 + 11 + 313 = 666.

213002111313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 177449877504 + 35552233809 = 421248^2 + 188553^2 .

It is not a de Polignac number, because 213002111313 - 2²⁰ = 213001062737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213002111317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11271256 + ... + 11290137.

It is an arithmetic number, because the mean of its divisors is an integer number (25663585675).

Almost surely, 2^213002111313 is an apocalyptic number.

It is an amenable number.

213002111313 is a deficient number, since it is larger than the sum of its proper divisors (94960916787).

213002111313 is a wasteful number, since it uses less digits than its factorization.

213002111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22562448 (or 22562445 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213002111313 its reverse (313111200312), we get a palindrome (526113311625).

The spelling of 213002111313 in words is "two hundred thirteen billion, two million, one hundred eleven thousand, three hundred thirteen".