13033300213213 has 12 divisors (see below), whose sum is σ = 15409729998012. Its totient is φ = 10988262472320.

The previous prime is 13033300213211. The next prime is 13033300213229. The reversal of 13033300213213 is 31231200333031.

It can be written as a sum of positive squares in 2 ways, for example, as 545289202969 + 12488011010244 = 738437^2 + 3533838^2 .

It is not a de Polignac number, because 13033300213213 - 2¹ = 13033300213211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033300213211) 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, 2180207820 + ... + 2180213797.

It is an arithmetic number, because the mean of its divisors is an integer number (1284144166501).

Almost surely, 2^{13033300213213} is an apocalyptic number.

It is an amenable number.

13033300213213 is a deficient number, since it is larger than the sum of its proper divisors (2376429784799).

13033300213213 is an equidigital number, since it uses as much as digits as its factorization.

13033300213213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360421692 (or 4360421685 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13033300213213 its reverse (31231200333031), we get a palindrome (44264500546244).

The spelling of 13033300213213 in words is "thirteen trillion, thirty-three billion, three hundred million, two hundred thirteen thousand, two hundred thirteen".