13010123332101 has 32 divisors (see below), whose sum is σ = 19951897304320. Its totient is φ = 7386754093056.

The previous prime is 13010123332027. The next prime is 13010123332103. The reversal of 13010123332101 is 10123332101031.

It is a happy number.

It is not a de Polignac number, because 13010123332101 - 2⁹ = 13010123331589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010123332103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146306085 + ... + 146394981.

It is an arithmetic number, because the mean of its divisors is an integer number (623496790760).

Almost surely, 2^{13010123332101} is an apocalyptic number.

It is an amenable number.

13010123332101 is a deficient number, since it is larger than the sum of its proper divisors (6941773972219).

13010123332101 is a wasteful number, since it uses less digits than its factorization.

13010123332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133453.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13010123332101 its reverse (10123332101031), we get a palindrome (23133455433132).

The spelling of 13010123332101 in words is "thirteen trillion, ten billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred one".