10133123 has 32 divisors (see below), whose sum is σ = 13934592. Its totient is φ = 7113600.

The previous prime is 10133119. The next prime is 10133131. The reversal of 10133123 is 32133101.

10133123 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10133123 - 2² = 10133119 is a prime.

10133123 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 10133098 and 10133107.

It is not an unprimeable number, because it can be changed into a prime (10133143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52958 + ... + 53148.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 2^10133123 is an apocalyptic number.

10133123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10133123 is a deficient number, since it is larger than the sum of its proper divisors (3801469).

10133123 is a wasteful number, since it uses less digits than its factorization.

10133123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 10133123 is about 3183.2566657434. The cubic root of 10133123 is about 216.3952738754.

Adding to 10133123 its reverse (32133101), we get a palindrome (42266224).

The spelling of 10133123 in words is "ten million, one hundred thirty-three thousand, one hundred twenty-three".