13132242124001 has 64 divisors (see below), whose sum is σ = 17834522872320. Its totient is φ = 9337939752960.

The previous prime is 13132242123989. The next prime is 13132242124061. The reversal of 13132242124001 is 10042124223131.

It is a happy number.

It is not a de Polignac number, because 13132242124001 - 2²⁶ = 13132175015137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13132242124061) 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, 30747845 + ... + 31172013.

It is an arithmetic number, because the mean of its divisors is an integer number (278664419880).

Almost surely, 2^{13132242124001} is an apocalyptic number.

13132242124001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13132242124001 is a deficient number, since it is larger than the sum of its proper divisors (4702280748319).

13132242124001 is a wasteful number, since it uses less digits than its factorization.

13132242124001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424554.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13132242124001 its reverse (10042124223131), we get a palindrome (23174366347132).

The spelling of 13132242124001 in words is "thirteen trillion, one hundred thirty-two billion, two hundred forty-two million, one hundred twenty-four thousand, one".