13003312310001 has 24 divisors (see below), whose sum is σ = 20228705864640. Its totient is φ = 8001511731936.

The previous prime is 13003312309979. The next prime is 13003312310069. The reversal of 13003312310001 is 10001321330031.

It is a happy number.

13003312310001 is a `hidden beast` number, since 1 + 300 + 331 + 2 + 31 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 13003312310001 - 2¹⁷ = 13003312178929 is a prime.

It is a super-2 number, since 2×13003312310001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13003312310071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1867861 + ... + 5430978.

It is an arithmetic number, because the mean of its divisors is an integer number (842862744360).

Almost surely, 2^{13003312310001} is an apocalyptic number.

It is an amenable number.

13003312310001 is a deficient number, since it is larger than the sum of its proper divisors (7225393554639).

13003312310001 is a wasteful number, since it uses less digits than its factorization.

13003312310001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7314085 (or 7314082 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13003312310001 its reverse (10001321330031), we get a palindrome (23004633640032).

The spelling of 13003312310001 in words is "thirteen trillion, three billion, three hundred twelve million, three hundred ten thousand, one".