13130111003401 has 10 divisors (see below), whose sum is σ = 15317551406602. Its totient is φ = 11254380858000.

The previous prime is 13130111003393. The next prime is 13130111003417. The reversal of 13130111003401 is 10430011103131.

It is a happy number.

13130111003401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8911872796176 + 4218238207225 = 2985276^2 + 2053835^2 .

It is not a de Polignac number, because 13130111003401 - 2³ = 13130111003393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13130111003431) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2734298100 + ... + 2734302901.

Almost surely, 2^{13130111003401} is an apocalyptic number.

It is an amenable number.

13130111003401 is a deficient number, since it is larger than the sum of its proper divisors (2187440403201).

13130111003401 is an frugal number, since it uses more digits than its factorization.

13130111003401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468601029 (or 5468601008 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13130111003401 its reverse (10430011103131), we get a palindrome (23560122106532).

The spelling of 13130111003401 in words is "thirteen trillion, one hundred thirty billion, one hundred eleven million, three thousand, four hundred one".