13123210021001 has 2 divisors, whose sum is σ = 13123210021002. Its totient is φ = 13123210021000.

The previous prime is 13123210020971. The next prime is 13123210021037. The reversal of 13123210021001 is 10012001232131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10081412415376 + 3041797605625 = 3175124^2 + 1744075^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13123210021001 is a prime.

It is a super-2 number, since 2×13123210021001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13123216021001) 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, 6561605010500 + 6561605010501.

It is an arithmetic number, because the mean of its divisors is an integer number (6561605010501).

Almost surely, 2^{13123210021001} is an apocalyptic number.

It is an amenable number.

13123210021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123210021001 is an equidigital number, since it uses as much as digits as its factorization.

13123210021001 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 17.

Adding to 13123210021001 its reverse (10012001232131), we get a palindrome (23135211253132).

The spelling of 13123210021001 in words is "thirteen trillion, one hundred twenty-three billion, two hundred ten million, twenty-one thousand, one".