13101413200401 has 64 divisors (see below), whose sum is σ = 20101995233280. Its totient is φ = 7545173613120.

The previous prime is 13101413200357. The next prime is 13101413200409. The reversal of 13101413200401 is 10400231410131.

It is not a de Polignac number, because 13101413200401 - 2²² = 13101409006097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13101413200409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317206 + ... + 5128688.

It is an arithmetic number, because the mean of its divisors is an integer number (314093675520).

Almost surely, 2^{13101413200401} is an apocalyptic number.

It is an amenable number.

13101413200401 is a deficient number, since it is larger than the sum of its proper divisors (7000582032879).

13101413200401 is a wasteful number, since it uses less digits than its factorization.

13101413200401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811626.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13101413200401 its reverse (10400231410131), we get a palindrome (23501644610532).

The spelling of 13101413200401 in words is "thirteen trillion, one hundred one billion, four hundred thirteen million, two hundred thousand, four hundred one".