213361413056513 has 16 divisors (see below), whose sum is σ = 221824522632960. Its totient is φ = 204974514796800.

The previous prime is 213361413056503. The next prime is 213361413056531. The reversal of 213361413056513 is 315650314163312.

It is a cyclic number.

It is not a de Polignac number, because 213361413056513 - 2²⁶ = 213361345947649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213361413056503) 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 15 ways as a sum of consecutive naturals, for example, 17433353 + ... + 27030438.

It is an arithmetic number, because the mean of its divisors is an integer number (13864032664560).

Almost surely, 2^{213361413056513} is an apocalyptic number.

It is an amenable number.

213361413056513 is a deficient number, since it is larger than the sum of its proper divisors (8463109576447).

213361413056513 is a wasteful number, since it uses less digits than its factorization.

213361413056513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44464648.

The product of its (nonzero) digits is 583200, while the sum is 44.

The spelling of 213361413056513 in words is "two hundred thirteen trillion, three hundred sixty-one billion, four hundred thirteen million, fifty-six thousand, five hundred thirteen".