13213223302113 has 32 divisors (see below), whose sum is σ = 19865638016000. Its totient is φ = 8678908435968.

The previous prime is 13213223302073. The next prime is 13213223302117. The reversal of 13213223302113 is 31120332231231.

13213223302113 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 322 + 330 + 2 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 13213223302113 - 2¹⁷ = 13213223171041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13213223302117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10727938 + ... + 11896011.

It is an arithmetic number, because the mean of its divisors is an integer number (620801188000).

Almost surely, 2^{13213223302113} is an apocalyptic number.

It is an amenable number.

13213223302113 is a deficient number, since it is larger than the sum of its proper divisors (6652414713887).

13213223302113 is a wasteful number, since it uses less digits than its factorization.

13213223302113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22624278 (or 22624272 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13213223302113 its reverse (31120332231231), we get a palindrome (44333555533344).

The spelling of 13213223302113 in words is "thirteen trillion, two hundred thirteen billion, two hundred twenty-three million, three hundred two thousand, one hundred thirteen".