13100013001213 has 4 divisors (see below), whose sum is σ = 13247204158620. Its totient is φ = 12952821843808.

The previous prime is 13100013001193. The next prime is 13100013001237. The reversal of 13100013001213 is 31210031000131.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6396584547609 + 6703428453604 = 2529147^2 + 2589098^2 .

It is a cyclic number.

It is not a de Polignac number, because 13100013001213 - 2²⁵ = 13099979446781 is a prime.

It is a super-2 number, since 2×13100013001213² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100013001013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73595578570 + ... + 73595578747.

It is an arithmetic number, because the mean of its divisors is an integer number (3311801039655).

Almost surely, 2^{13100013001213} is an apocalyptic number.

It is an amenable number.

13100013001213 is a deficient number, since it is larger than the sum of its proper divisors (147191157407).

13100013001213 is an equidigital number, since it uses as much as digits as its factorization.

13100013001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147191157406.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13100013001213 its reverse (31210031000131), we get a palindrome (44310044001344).

The spelling of 13100013001213 in words is "thirteen trillion, one hundred billion, thirteen million, one thousand, two hundred thirteen".