13100123103201 has 32 divisors (see below), whose sum is σ = 20077254403200. Its totient is φ = 8432079445440.

The previous prime is 13100123103181. The next prime is 13100123103217. The reversal of 13100123103201 is 10230132100131.

13100123103201 is a `hidden beast` number, since 1 + 31 + 0 + 0 + 1 + 2 + 310 + 320 + 1 = 666.

It is not a de Polignac number, because 13100123103201 - 2²² = 13100118908897 is a prime.

It is a super-2 number, since 2×13100123103201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13100123113201) 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, 42017850 + ... + 42328476.

It is an arithmetic number, because the mean of its divisors is an integer number (627414200100).

Almost surely, 2^{13100123103201} is an apocalyptic number.

It is an amenable number.

13100123103201 is a deficient number, since it is larger than the sum of its proper divisors (6977131299999).

13100123103201 is a wasteful number, since it uses less digits than its factorization.

13100123103201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364526 (or 364520 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13100123103201 its reverse (10230132100131), we get a palindrome (23330255203332).

The spelling of 13100123103201 in words is "thirteen trillion, one hundred billion, one hundred twenty-three million, one hundred three thousand, two hundred one".