133313104 has 20 divisors (see below), whose sum is σ = 260667220. Its totient is φ = 66044160.

The previous prime is 133313077. The next prime is 133313107. The reversal of 133313104 is 401313331.

It can be written as a sum of positive squares in 2 ways, for example, as 30250000 + 103063104 = 5500^2 + 10152^2 .

It is a super-2 number, since 2×133313104² = 35544767396229632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133313107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36477 + ... + 39964.

It is an arithmetic number, because the mean of its divisors is an integer number (13033361).

Almost surely, 2^133313104 is an apocalyptic number.

It is an amenable number.

133313104 is a deficient number, since it is larger than the sum of its proper divisors (127354116).

133313104 is a wasteful number, since it uses less digits than its factorization.

133313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76558 (or 76552 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 133313104 is about 11546.1293947366. The cubic root of 133313104 is about 510.8471170740.

Adding to 133313104 its reverse (401313331), we get a palindrome (534626435).

The spelling of 133313104 in words is "one hundred thirty-three million, three hundred thirteen thousand, one hundred four".