13213413400221 has 12 divisors (see below), whose sum is σ = 19086092942748. Its totient is φ = 8808918560064.

The previous prime is 13213413400207. The next prime is 13213413400223. The reversal of 13213413400221 is 12200431431231.

13213413400221 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 34 + 1 + 3 + 400 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6495540363225 + 6717873036996 = 2548635^2 + 2591886^2 .

It is not a de Polignac number, because 13213413400221 - 2⁵ = 13213413400189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213413400223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1968961 + ... + 5504873.

It is an arithmetic number, because the mean of its divisors is an integer number (1590507745229).

Almost surely, 2^{13213413400221} is an apocalyptic number.

It is an amenable number.

13213413400221 is a deficient number, since it is larger than the sum of its proper divisors (5872679542527).

13213413400221 is a wasteful number, since it uses less digits than its factorization.

13213413400221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951132 (or 3951129 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13213413400221 its reverse (12200431431231), we get a palindrome (25413844831452).

The spelling of 13213413400221 in words is "thirteen trillion, two hundred thirteen billion, four hundred thirteen million, four hundred thousand, two hundred twenty-one".