13223010132001 has 2 divisors, whose sum is σ = 13223010132002. Its totient is φ = 13223010132000.

The previous prime is 13223010131983. The next prime is 13223010132019. The reversal of 13223010132001 is 10023101032231.

It is a balanced prime because it is at equal distance from previous prime (13223010131983) and next prime (13223010132019).

It can be written as a sum of positive squares in only one way, i.e., 12892954136976 + 330055995025 = 3590676^2 + 574505^2 .

It is a cyclic number.

It is not a de Polignac number, because 13223010132001 - 2²⁷ = 13222875914273 is a prime.

It is a super-2 number, since 2×13223010132001² (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 13223010132001.

It is not a weakly prime, because it can be changed into another prime (13223010132041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611505066000 + 6611505066001.

It is an arithmetic number, because the mean of its divisors is an integer number (6611505066001).

Almost surely, 2^{13223010132001} is an apocalyptic number.

It is an amenable number.

13223010132001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13223010132001 is an equidigital number, since it uses as much as digits as its factorization.

13223010132001 is an evil number, because the sum of its binary digits is even.

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

Adding to 13223010132001 its reverse (10023101032231), we get a palindrome (23246111164232).

The spelling of 13223010132001 in words is "thirteen trillion, two hundred twenty-three billion, ten million, one hundred thirty-two thousand, one".