13100101011001 has 8 divisors (see below), whose sum is σ = 14265082771200. Its totient is φ = 11982669526800.

The previous prime is 13100101010981. The next prime is 13100101011131. The reversal of 13100101011001 is 10011010100131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13100101011001 - 2⁷ = 13100101010873 is a prime.

It is a super-2 number, since 2×13100101011001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13100101611001) 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 7 ways as a sum of consecutive naturals, for example, 11887568425 + ... + 11887569526.

It is an arithmetic number, because the mean of its divisors is an integer number (1783135346400).

Almost surely, 2^{13100101011001} is an apocalyptic number.

It is an amenable number.

13100101011001 is a deficient number, since it is larger than the sum of its proper divisors (1164981760199).

13100101011001 is a wasteful number, since it uses less digits than its factorization.

13100101011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23775137999.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 13100101011001 its reverse (10011010100131), we get a palindrome (23111111111132).

The spelling of 13100101011001 in words is "thirteen trillion, one hundred billion, one hundred one million, eleven thousand, one".