13010201301213 has 12 divisors (see below), whose sum is σ = 18794785744540. Its totient is φ = 8672418570816.

The previous prime is 13010201301179. The next prime is 13010201301257. The reversal of 13010201301213 is 31210310201031.

13010201301213 is a `hidden beast` number, since 1 + 301 + 0 + 20 + 130 + 1 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5714141242329 + 7296060058884 = 2390427^2 + 2701122^2 .

It is not a de Polignac number, because 13010201301213 - 2³⁶ = 12941481824477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010201301313) 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, 87335056 + ... + 87483897.

Almost surely, 2^{13010201301213} is an apocalyptic number.

It is an amenable number.

13010201301213 is a deficient number, since it is larger than the sum of its proper divisors (5784584443327).

13010201301213 is a wasteful number, since it uses less digits than its factorization.

13010201301213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174827228 (or 174827225 counting only the distinct ones).

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

Adding to 13010201301213 its reverse (31210310201031), we get a palindrome (44220511502244).

The spelling of 13010201301213 in words is "thirteen trillion, ten billion, two hundred one million, three hundred one thousand, two hundred thirteen".