13313133131 has 2 divisors, whose sum is σ = 13313133132. Its totient is φ = 13313133130.

The previous prime is 13313133101. The next prime is 13313133137. The reversal of 13313133131 is 13133131331.

It is a strong prime.

It is an emirp because it is prime and its reverse (13133131331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13313133131 is a prime.

It is a super-2 number, since 2×13313133131² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13313133097 and 13313133106.

It is not a weakly prime, because it can be changed into another prime (13313133137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656566565 + 6656566566.

It is an arithmetic number, because the mean of its divisors is an integer number (6656566566).

Almost surely, 2^13313133131 is an apocalyptic number.

13313133131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313133131 is an equidigital number, since it uses as much as digits as its factorization.

13313133131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 729, while the sum is 23.

Adding to 13313133131 its reverse (13133131331), we get a palindrome (26446264462).

The spelling of 13313133131 in words is "thirteen billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred thirty-one".