13090535313001 has 2 divisors, whose sum is σ = 13090535313002. Its totient is φ = 13090535313000.

The previous prime is 13090535312999. The next prime is 13090535313007. The reversal of 13090535313001 is 10031353509031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12110086802025 + 980448510976 = 3479955^2 + 990176^2 .

It is an emirp because it is prime and its reverse (10031353509031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13090535313001 - 2¹ = 13090535312999 is a prime.

It is a super-2 number, since 2×13090535313001² (a number of 27 digits) contains 22 as substring.

Together with 13090535312999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13090535313007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6545267656500 + 6545267656501.

It is an arithmetic number, because the mean of its divisors is an integer number (6545267656501).

Almost surely, 2^{13090535313001} is an apocalyptic number.

It is an amenable number.

13090535313001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13090535313001 is an equidigital number, since it uses as much as digits as its factorization.

13090535313001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18225, while the sum is 34.

The spelling of 13090535313001 in words is "thirteen trillion, ninety billion, five hundred thirty-five million, three hundred thirteen thousand, one".