133131313 has 4 divisors (see below), whose sum is σ = 152150080. Its totient is φ = 114112548.

The previous prime is 133131293. The next prime is 133131343. The reversal of 133131313 is 313131331.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133131313 is a prime.

It is a super-2 number, since 2×133131313² = 35447893002207938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133131343) 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 3 ways as a sum of consecutive naturals, for example, 9509373 + ... + 9509386.

It is an arithmetic number, because the mean of its divisors is an integer number (38037520).

Almost surely, 2^133131313 is an apocalyptic number.

It is an amenable number.

133131313 is a deficient number, since it is larger than the sum of its proper divisors (19018767).

133131313 is an equidigital number, since it uses as much as digits as its factorization.

133131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19018766.

The product of its digits is 243, while the sum is 19.

The square root of 133131313 is about 11538.2543307036. The cubic root of 133131313 is about 510.6148076960.

Adding to 133131313 its reverse (313131331), we get a palindrome (446262644).

The spelling of 133131313 in words is "one hundred thirty-three million, one hundred thirty-one thousand, three hundred thirteen".