13213101001013 has 4 divisors (see below), whose sum is σ = 13213134230208. Its totient is φ = 13213067771820.

The previous prime is 13213101000997. The next prime is 13213101001057. The reversal of 13213101001013 is 31010010131231.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13213101001013 - 2⁴ = 13213101000997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13213101000982 and 13213101001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213101006013) 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, 16010831 + ... + 16815852.

It is an arithmetic number, because the mean of its divisors is an integer number (3303283557552).

Almost surely, 2^{13213101001013} is an apocalyptic number.

It is an amenable number.

13213101001013 is a deficient number, since it is larger than the sum of its proper divisors (33229195).

13213101001013 is an equidigital number, since it uses as much as digits as its factorization.

13213101001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33229194.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 13213101001013 its reverse (31010010131231), we get a palindrome (44223111132244).

The spelling of 13213101001013 in words is "thirteen trillion, two hundred thirteen billion, one hundred one million, one thousand, thirteen".