133313121 has 20 divisors (see below), whose sum is σ = 202418964. Its totient is φ = 87415200.

The previous prime is 133313107. The next prime is 133313137. The reversal of 133313121 is 121313331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8767521 + 124545600 = 2961^2 + 11160^2 .

It is not a de Polignac number, because 133313121 - 2⁶ = 133313057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133313094 and 133313103.

It is not an unprimeable number, because it can be changed into a prime (133313161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8550 + ... + 18431.

Almost surely, 2^133313121 is an apocalyptic number.

It is an amenable number.

133313121 is a deficient number, since it is larger than the sum of its proper divisors (69105843).

133313121 is an equidigital number, since it uses as much as digits as its factorization.

133313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27054 (or 27045 counting only the distinct ones).

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

The square root of 133313121 is about 11546.1301309140. The cubic root of 133313121 is about 510.8471387883.

Adding to 133313121 its reverse (121313331), we get a palindrome (254626452).

The spelling of 133313121 in words is "one hundred thirty-three million, three hundred thirteen thousand, one hundred twenty-one".