13133023312101 has 64 divisors (see below), whose sum is σ = 22231380787200. Its totient is φ = 6698358014400.

The previous prime is 13133023312049. The next prime is 13133023312103. The reversal of 13133023312101 is 10121332033131.

It is not a de Polignac number, because 13133023312101 - 2¹⁹ = 13133022787813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133023312103) 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 63 ways as a sum of consecutive naturals, for example, 1256356 + ... + 5276786.

It is an arithmetic number, because the mean of its divisors is an integer number (347365324800).

Almost surely, 2^{13133023312101} is an apocalyptic number.

13133023312101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13133023312101 is a deficient number, since it is larger than the sum of its proper divisors (9098357475099).

13133023312101 is a wasteful number, since it uses less digits than its factorization.

13133023312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020710.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13133023312101 its reverse (10121332033131), we get a palindrome (23254355345232).

The spelling of 13133023312101 in words is "thirteen trillion, one hundred thirty-three billion, twenty-three million, three hundred twelve thousand, one hundred one".