13133131 has 8 divisors (see below), whose sum is σ = 14470128. Its totient is φ = 11820000.

The previous prime is 13133111. The next prime is 13133147.

13133131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13133131 is a prime.

It is a super-2 number, since 2×13133131² = 344958259726322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13133111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4800 + ... + 7021.

It is an arithmetic number, because the mean of its divisors is an integer number (1808766).

Almost surely, 2^13133131 is an apocalyptic number.

13133131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13133131 is a deficient number, since it is larger than the sum of its proper divisors (1336997).

13133131 is a wasteful number, since it uses less digits than its factorization.

13133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11933.

The product of its digits is 81, while the sum is 16.

The square root of 13133131 is about 3623.9661974141. The cubic root of 13133131 is about 235.9333995252.

It can be divided in two parts, 1313 and 3131, that added together give a palindrome (4444).

The spelling of 13133131 in words is "thirteen million, one hundred thirty-three thousand, one hundred thirty-one".