133313313 has 16 divisors (see below), whose sum is σ = 211977216. Its totient is φ = 72866640.

The previous prime is 133313311. The next prime is 133313321. The reversal of 133313313 is 313313331.

It is not a de Polignac number, because 133313313 - 2¹ = 133313311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133313313.

It is not an unprimeable number, because it can be changed into a prime (133313311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137523 + ... + 138488.

It is an arithmetic number, because the mean of its divisors is an integer number (13248576).

Almost surely, 2^133313313 is an apocalyptic number.

It is an amenable number.

133313313 is a deficient number, since it is larger than the sum of its proper divisors (78663903).

133313313 is a wasteful number, since it uses less digits than its factorization.

133313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276044.

The product of its digits is 729, while the sum is 21.

The square root of 133313313 is about 11546.1384453851. The cubic root of 133313313 is about 510.8473840320.

Adding to 133313313 its reverse (313313331), we get a palindrome (446626644).

The spelling of 133313313 in words is "one hundred thirty-three million, three hundred thirteen thousand, three hundred thirteen".