7133313 has 24 divisors (see below), whose sum is σ = 10720864. Its totient is φ = 4213440.

The previous prime is 7133297. The next prime is 7133339. The reversal of 7133313 is 3133317.

It is not a de Polignac number, because 7133313 - 2⁴ = 7133297 is a prime.

7133313 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7133313.

It is not an unprimeable number, because it can be changed into a prime (7133363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15381 + ... + 15837.

Almost surely, 2^7133313 is an apocalyptic number.

It is an amenable number.

7133313 is a deficient number, since it is larger than the sum of its proper divisors (3587551).

7133313 is a wasteful number, since it uses less digits than its factorization.

7133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 514 counting only the distinct ones).

The product of its digits is 567, while the sum is 21.

The square root of 7133313 is about 2670.8262766417. The cubic root of 7133313 is about 192.4998639455.

The spelling of 7133313 in words is "seven million, one hundred thirty-three thousand, three hundred thirteen".