13101012330401 has 32 divisors (see below), whose sum is σ = 13566631680000. Its totient is φ = 12645550532160.

The previous prime is 13101012330389. The next prime is 13101012330509. The reversal of 13101012330401 is 10403321010131.

It is a cyclic number.

It is not a de Polignac number, because 13101012330401 - 2⁶ = 13101012330337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13101011330401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3259767170 + ... + 3259771188.

It is an arithmetic number, because the mean of its divisors is an integer number (423957240000).

Almost surely, 2^{13101012330401} is an apocalyptic number.

It is an amenable number.

13101012330401 is a deficient number, since it is larger than the sum of its proper divisors (465619349599).

13101012330401 is a wasteful number, since it uses less digits than its factorization.

13101012330401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8117.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13101012330401 its reverse (10403321010131), we get a palindrome (23504333340532).

The spelling of 13101012330401 in words is "thirteen trillion, one hundred one billion, twelve million, three hundred thirty thousand, four hundred one".