132013321102013 has 64 divisors (see below), whose sum is σ = 158587929561600. Its totient is φ = 108648620974080.

The previous prime is 132013321101919. The next prime is 132013321102021. The reversal of 132013321102013 is 310201123310231.

It is a cyclic number.

It is not a de Polignac number, because 132013321102013 - 2⁸ = 132013321101757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132013321102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132013321102093) 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, 1263728978 + ... + 1263833436.

It is an arithmetic number, because the mean of its divisors is an integer number (2477936399400).

Almost surely, 2^{132013321102013} is an apocalyptic number.

132013321102013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132013321102013 is a deficient number, since it is larger than the sum of its proper divisors (26574608459587).

132013321102013 is a wasteful number, since it uses less digits than its factorization.

132013321102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106902.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 132013321102013 its reverse (310201123310231), we get a palindrome (442214444412244).

The spelling of 132013321102013 in words is "one hundred thirty-two trillion, thirteen billion, three hundred twenty-one million, one hundred two thousand, thirteen".