13133200303313 has 8 divisors (see below), whose sum is σ = 13489836091560. Its totient is φ = 12776653169280.

The previous prime is 13133200303259. The next prime is 13133200303331. The reversal of 13133200303313 is 31330300233131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2186710435009 + 10946489868304 = 1478753^2 + 3308548^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13133200303313 - 2¹² = 13133200299217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13133200303373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21863198 + ... + 22455863.

It is an arithmetic number, because the mean of its divisors is an integer number (1686229511445).

Almost surely, 2^{13133200303313} is an apocalyptic number.

It is an amenable number.

13133200303313 is a deficient number, since it is larger than the sum of its proper divisors (356635788247).

13133200303313 is an equidigital number, since it uses as much as digits as its factorization.

13133200303313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44327107.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 13133200303313 its reverse (31330300233131), we get a palindrome (44463500536444).

The spelling of 13133200303313 in words is "thirteen trillion, one hundred thirty-three billion, two hundred million, three hundred three thousand, three hundred thirteen".