213313321200013 has 8 divisors (see below), whose sum is σ = 214324768927616. Its totient is φ = 212301878040000.

The previous prime is 213313321199981. The next prime is 213313321200037. The reversal of 213313321200013 is 310002123313312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213313321200013 - 2⁵ = 213313321199981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213313321200313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125917045 + ... + 127599877.

It is an arithmetic number, because the mean of its divisors is an integer number (26790596115952).

Almost surely, 2^{213313321200013} is an apocalyptic number.

It is an amenable number.

213313321200013 is a deficient number, since it is larger than the sum of its proper divisors (1011447727603).

213313321200013 is a wasteful number, since it uses less digits than its factorization.

213313321200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283795.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 213313321200013 its reverse (310002123313312), we get a palindrome (523315444513325).

The spelling of 213313321200013 in words is "two hundred thirteen trillion, three hundred thirteen billion, three hundred twenty-one million, two hundred thousand, thirteen".