13002333130001 has 2 divisors, whose sum is σ = 13002333130002. Its totient is φ = 13002333130000.

The previous prime is 13002333129979. The next prime is 13002333130057. The reversal of 13002333130001 is 10003133320031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12594861557776 + 407471572225 = 3548924^2 + 638335^2 .

It is a cyclic number.

It is not a de Polignac number, because 13002333130001 - 2²⁶ = 13002266021137 is a prime.

It is not a weakly prime, because it can be changed into another prime (13002333133001) 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 as a sum of consecutive naturals, namely, 6501166565000 + 6501166565001.

It is an arithmetic number, because the mean of its divisors is an integer number (6501166565001).

Almost surely, 2^{13002333130001} is an apocalyptic number.

It is an amenable number.

13002333130001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13002333130001 is an equidigital number, since it uses as much as digits as its factorization.

13002333130001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13002333130001 its reverse (10003133320031), we get a palindrome (23005466450032).

The spelling of 13002333130001 in words is "thirteen trillion, two billion, three hundred thirty-three million, one hundred thirty thousand, one".