13032013132001 has 8 divisors (see below), whose sum is σ = 13259728895208. Its totient is φ = 12804751440000.

The previous prime is 13032013131979. The next prime is 13032013132013. The reversal of 13032013132001 is 10023131023031.

It can be written as a sum of positive squares in 4 ways, for example, as 129197113600 + 12902816018401 = 359440^2 + 3592049^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13032013132001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13032013132601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113459900 + ... + 113574701.

It is an arithmetic number, because the mean of its divisors is an integer number (1657466111901).

Almost surely, 2^{13032013132001} is an apocalyptic number.

It is an amenable number.

13032013132001 is a deficient number, since it is larger than the sum of its proper divisors (227715763207).

13032013132001 is an equidigital number, since it uses as much as digits as its factorization.

13032013132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227035603.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13032013132001 its reverse (10023131023031), we get a palindrome (23055144155032).

The spelling of 13032013132001 in words is "thirteen trillion, thirty-two billion, thirteen million, one hundred thirty-two thousand, one".