13221031002001 has 2 divisors, whose sum is σ = 13221031002002. Its totient is φ = 13221031002000.

The previous prime is 13221031001977. The next prime is 13221031002007. The reversal of 13221031002001 is 10020013012231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11015256517776 + 2205774484225 = 3318924^2 + 1485185^2 .

It is a cyclic number.

It is not a de Polignac number, because 13221031002001 - 2¹⁵ = 13221030969233 is a prime.

It is not a weakly prime, because it can be changed into another prime (13221031002007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610515501000 + 6610515501001.

It is an arithmetic number, because the mean of its divisors is an integer number (6610515501001).

Almost surely, 2^{13221031002001} is an apocalyptic number.

It is an amenable number.

13221031002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221031002001 is an equidigital number, since it uses as much as digits as its factorization.

13221031002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13221031002001 its reverse (10020013012231), we get a palindrome (23241044014232).

The spelling of 13221031002001 in words is "thirteen trillion, two hundred twenty-one billion, thirty-one million, two thousand, one".