13330202330313 has 16 divisors (see below), whose sum is σ = 21543761342400. Its totient is φ = 8078910503040.

The previous prime is 13330202330311. The next prime is 13330202330321. The reversal of 13330202330313 is 31303320203331.

13330202330313 is a `hidden beast` number, since 1 + 3 + 330 + 2 + 0 + 23 + 303 + 1 + 3 = 666.

It is not a de Polignac number, because 13330202330313 - 2¹ = 13330202330311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13330202330311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22441417768 + ... + 22441418361.

It is an arithmetic number, because the mean of its divisors is an integer number (1346485083900).

Almost surely, 2^{13330202330313} is an apocalyptic number.

It is an amenable number.

13330202330313 is a deficient number, since it is larger than the sum of its proper divisors (8213559012087).

13330202330313 is a wasteful number, since it uses less digits than its factorization.

13330202330313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44882836149 (or 44882836143 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 13330202330313 its reverse (31303320203331), we get a palindrome (44633522533644).

The spelling of 13330202330313 in words is "thirteen trillion, three hundred thirty billion, two hundred two million, three hundred thirty thousand, three hundred thirteen".