13130311140001 has 16 divisors (see below), whose sum is σ = 14786333687808. Its totient is φ = 11551363563600.

The previous prime is 13130311139999. The next prime is 13130311140007. The reversal of 13130311140001 is 10004111303131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13130311140001 - 2¹ = 13130311139999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13130311140007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18086320 + ... + 18798286.

It is an arithmetic number, because the mean of its divisors is an integer number (924145855488).

Almost surely, 2^{13130311140001} is an apocalyptic number.

13130311140001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13130311140001 is a deficient number, since it is larger than the sum of its proper divisors (1656022547807).

13130311140001 is a wasteful number, since it uses less digits than its factorization.

13130311140001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766092.

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

Adding to 13130311140001 its reverse (10004111303131), we get a palindrome (23134422443132).

The spelling of 13130311140001 in words is "thirteen trillion, one hundred thirty billion, three hundred eleven million, one hundred forty thousand, one".