10133313 has 8 divisors (see below), whose sum is σ = 13555776. Its totient is φ = 6733200.

The previous prime is 10133303. The next prime is 10133329. The reversal of 10133313 is 31333101.

10133313 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10133313 - 2⁴ = 10133297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10133292 and 10133301.

It is not an unprimeable number, because it can be changed into a prime (10133303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4498 + ... + 6363.

It is an arithmetic number, because the mean of its divisors is an integer number (1694472).

Almost surely, 2^10133313 is an apocalyptic number.

It is an amenable number.

10133313 is a deficient number, since it is larger than the sum of its proper divisors (3422463).

10133313 is a wasteful number, since it uses less digits than its factorization.

10133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11175.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 10133313 is about 3183.2865092542. The cubic root of 10133313 is about 216.3966263655.

Adding to 10133313 its reverse (31333101), we get a palindrome (41466414).

The spelling of 10133313 in words is "ten million, one hundred thirty-three thousand, three hundred thirteen".