13130424013311 has 64 divisors (see below), whose sum is σ = 22357929024000. Its totient is φ = 7532197827840.

The previous prime is 13130424013283. The next prime is 13130424013327. The reversal of 13130424013311 is 11331042403131.

13130424013311 is a `hidden beast` number, since 1 + 3 + 1 + 304 + 2 + 40 + 1 + 3 + 311 = 666.

It is not a de Polignac number, because 13130424013311 - 2⁵ = 13130424013279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130424013381) 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, 5209011 + ... + 7307163.

It is an arithmetic number, because the mean of its divisors is an integer number (349342641000).

Almost surely, 2^{13130424013311} is an apocalyptic number.

13130424013311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13130424013311 is a deficient number, since it is larger than the sum of its proper divisors (9227505010689).

13130424013311 is a wasteful number, since it uses less digits than its factorization.

13130424013311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099301 (or 2099295 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13130424013311 its reverse (11331042403131), we get a palindrome (24461466416442).

The spelling of 13130424013311 in words is "thirteen trillion, one hundred thirty billion, four hundred twenty-four million, thirteen thousand, three hundred eleven".