13002023121101 has 32 divisors (see below), whose sum is σ = 15158413132800. Its totient is φ = 10921603714560.

The previous prime is 13002023121083. The next prime is 13002023121127. The reversal of 13002023121101 is 10112132020031.

13002023121101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-13002023121101 is a prime.

It is a super-2 number, since 2×13002023121101² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13002023121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002023121151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172012646 + ... + 172088216.

It is an arithmetic number, because the mean of its divisors is an integer number (473700410400).

Almost surely, 2^{13002023121101} is an apocalyptic number.

It is an amenable number.

13002023121101 is a deficient number, since it is larger than the sum of its proper divisors (2156390011699).

13002023121101 is an equidigital number, since it uses as much as digits as its factorization.

13002023121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76929.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13002023121101 its reverse (10112132020031), we get a palindrome (23114155141132).

The spelling of 13002023121101 in words is "thirteen trillion, two billion, twenty-three million, one hundred twenty-one thousand, one hundred one".