10013133 has 16 divisors (see below), whose sum is σ = 15135680. Its totient is φ = 5837184.

The previous prime is 10013111. The next prime is 10013137. The reversal of 10013133 is 33131001.

10013133 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10013133 - 2⁹ = 10012621 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013137) 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, 6016 + ... + 7497.

It is an arithmetic number, because the mean of its divisors is an integer number (945980).

Almost surely, 2^10013133 is an apocalyptic number.

10013133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10013133 is a deficient number, since it is larger than the sum of its proper divisors (5122547).

10013133 is a wasteful number, since it uses less digits than its factorization.

10013133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13548.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 10013133 is about 3164.3534884712. The cubic root of 10013133 is about 215.5377417151.

Adding to 10013133 its reverse (33131001), we get a palindrome (43144134).

The spelling of 10013133 in words is "ten million, thirteen thousand, one hundred thirty-three".