13323145034401 has 8 divisors (see below), whose sum is σ = 13470228602600. Its totient is φ = 13176513336960.

The previous prime is 13323145034393. The next prime is 13323145034411. The reversal of 13323145034401 is 10443054132331.

It can be written as a sum of positive squares in 4 ways, for example, as 38935182400 + 13284209852001 = 197320^2 + 3644751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13323145034401 - 2³ = 13323145034393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13323145034411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112908396 + ... + 113026333.

It is an arithmetic number, because the mean of its divisors is an integer number (1683778575325).

Almost surely, 2^{13323145034401} is an apocalyptic number.

It is an amenable number.

13323145034401 is a deficient number, since it is larger than the sum of its proper divisors (147083568199).

13323145034401 is a wasteful number, since it uses less digits than its factorization.

13323145034401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225935379.

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 13323145034401 its reverse (10443054132331), we get a palindrome (23766199166732).

The spelling of 13323145034401 in words is "thirteen trillion, three hundred twenty-three billion, one hundred forty-five million, thirty-four thousand, four hundred one".