13140403211331 has 12 divisors (see below), whose sum is σ = 20706089908920. Its totient is φ = 7963880734080.

The previous prime is 13140403211297. The next prime is 13140403211357. The reversal of 13140403211331 is 13311230404131.

13140403211331 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 4 + 0 + 321 + 1 + 331 = 666.

It is not a de Polignac number, because 13140403211331 - 2⁷ = 13140403211203 is a prime.

It is a super-2 number, since 2×13140403211331² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13140403211295 and 13140403211304.

It is not an unprimeable number, because it can be changed into a prime (13140403211431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66365672686 + ... + 66365672883.

It is an arithmetic number, because the mean of its divisors is an integer number (1725507492410).

Almost surely, 2^{13140403211331} is an apocalyptic number.

13140403211331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13140403211331 is a deficient number, since it is larger than the sum of its proper divisors (7565686697589).

13140403211331 is a wasteful number, since it uses less digits than its factorization.

13140403211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132731345586 (or 132731345583 counting only the distinct ones).

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

Adding to 13140403211331 its reverse (13311230404131), we get a palindrome (26451633615462).

The spelling of 13140403211331 in words is "thirteen trillion, one hundred forty billion, four hundred three million, two hundred eleven thousand, three hundred thirty-one".