133121313 has 20 divisors (see below), whose sum is σ = 214158868. Its totient is φ = 81920160.

The previous prime is 133121311. The next prime is 133121321. The reversal of 133121313 is 313121331.

It is a happy number.

133121313 is a `hidden beast` number, since 1 + 331 + 21 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60326289 + 72795024 = 7767^2 + 8532^2 .

It is not a de Polignac number, because 133121313 - 2¹ = 133121311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133121311) 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, 62158 + ... + 64263.

Almost surely, 2^133121313 is an apocalyptic number.

133121313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133121313 is a deficient number, since it is larger than the sum of its proper divisors (81037555).

133121313 is a wasteful number, since it uses less digits than its factorization.

133121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126446 (or 126437 counting only the distinct ones).

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

The square root of 133121313 is about 11537.8209814505. The cubic root of 133121313 is about 510.6020226349.

Adding to 133121313 its sum of digits (18), we get a palindrome (133121331).

Adding to 133121313 its reverse (313121331), we get a palindrome (446242644).

The spelling of 133121313 in words is "one hundred thirty-three million, one hundred twenty-one thousand, three hundred thirteen".