10100133023 has 8 divisors (see below), whose sum is σ = 10115154720. Its totient is φ = 10085125120.

The previous prime is 10100132989. The next prime is 10100133061. The reversal of 10100133023 is 32033100101.

10100133023 is digitally balanced in base 2, because in such base 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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100133023 is a prime.

It is a super-3 number, since 3×10100133023³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100132989 and 10100133007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100133073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3218111 + ... + 3221247.

It is an arithmetic number, because the mean of its divisors is an integer number (1264394340).

Almost surely, 2^10100133023 is an apocalyptic number.

10100133023 is a deficient number, since it is larger than the sum of its proper divisors (15021697).

10100133023 is a wasteful number, since it uses less digits than its factorization.

10100133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897.

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

Adding to 10100133023 its reverse (32033100101), we get a palindrome (42133233124).

The spelling of 10100133023 in words is "ten billion, one hundred million, one hundred thirty-three thousand, twenty-three".