13222100313001 has 2 divisors, whose sum is σ = 13222100313002. Its totient is φ = 13222100313000.

The previous prime is 13222100312989. The next prime is 13222100313007. The reversal of 13222100313001 is 10031300122231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9684070981776 + 3538029331225 = 3111924^2 + 1880965^2 .

It is a cyclic number.

It is not a de Polignac number, because 13222100313001 - 2³¹ = 13219952829353 is a prime.

It is a super-2 number, since 2×13222100313001² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13222100313001.

It is not a weakly prime, because it can be changed into another prime (13222100313007) 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 as a sum of consecutive naturals, namely, 6611050156500 + 6611050156501.

It is an arithmetic number, because the mean of its divisors is an integer number (6611050156501).

Almost surely, 2^{13222100313001} is an apocalyptic number.

It is an amenable number.

13222100313001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13222100313001 is an equidigital number, since it uses as much as digits as its factorization.

13222100313001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13222100313001 its reverse (10031300122231), we get a palindrome (23253400435232).

The spelling of 13222100313001 in words is "thirteen trillion, two hundred twenty-two billion, one hundred million, three hundred thirteen thousand, one".