133211313 has 12 divisors (see below), whose sum is σ = 196047540. Its totient is φ = 87131616.

The previous prime is 133211279. The next prime is 133211327. The reversal of 133211313 is 313112331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34963569 + 98247744 = 5913^2 + 9912^2 .

It is not a de Polignac number, because 133211313 - 2⁹ = 133210801 is a prime.

It is a super-2 number, since 2×133211313² = 35490507822367938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133211363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139158 + ... + 140111.

It is an arithmetic number, because the mean of its divisors is an integer number (16337295).

Almost surely, 2^133211313 is an apocalyptic number.

It is an amenable number.

133211313 is a deficient number, since it is larger than the sum of its proper divisors (62836227).

133211313 is a wasteful number, since it uses less digits than its factorization.

133211313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279328 (or 279325 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 133211313 is about 11541.7205389838. The cubic root of 133211313 is about 510.7170651444.

Adding to 133211313 its reverse (313112331), we get a palindrome (446323644).

The spelling of 133211313 in words is "one hundred thirty-three million, two hundred eleven thousand, three hundred thirteen".