13002122313313 has 16 divisors (see below), whose sum is σ = 14922274346496. Its totient is φ = 11097653276160.

The previous prime is 13002122313277. The next prime is 13002122313347. The reversal of 13002122313313 is 31331322120031.

It is a cyclic number.

It is not a de Polignac number, because 13002122313313 - 2³³ = 12993532378721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13002122313413) 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, 24422520 + ... + 24949222.

It is an arithmetic number, because the mean of its divisors is an integer number (932642146656).

Almost surely, 2^{13002122313313} is an apocalyptic number.

It is an amenable number.

13002122313313 is a deficient number, since it is larger than the sum of its proper divisors (1920152033183).

13002122313313 is a wasteful number, since it uses less digits than its factorization.

13002122313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541584.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13002122313313 its reverse (31331322120031), we get a palindrome (44333444433344).

The spelling of 13002122313313 in words is "thirteen trillion, two billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred thirteen".