13101000321213 has 32 divisors (see below), whose sum is σ = 22208409861120. Its totient is φ = 7477233467760.

The previous prime is 13101000321193. The next prime is 13101000321251. The reversal of 13101000321213 is 31212300010131.

13101000321213 is a `hidden beast` number, since 1 + 31 + 0 + 100 + 0 + 321 + 213 = 666.

It is not a de Polignac number, because 13101000321213 - 2¹³ = 13101000313021 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101000321293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41752683 + ... + 42065288.

It is an arithmetic number, because the mean of its divisors is an integer number (694012808160).

Almost surely, 2^{13101000321213} is an apocalyptic number.

It is an amenable number.

13101000321213 is a deficient number, since it is larger than the sum of its proper divisors (9107409539907).

13101000321213 is an equidigital number, since it uses as much as digits as its factorization.

13101000321213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83818814 (or 83818808 counting only the distinct ones).

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

Adding to 13101000321213 its reverse (31212300010131), we get a palindrome (44313300331344).

The spelling of 13101000321213 in words is "thirteen trillion, one hundred one billion, three hundred twenty-one thousand, two hundred thirteen".