10100133007 has 8 divisors (see below), whose sum is σ = 10726573392. Its totient is φ = 9477283200.

The previous prime is 10100132989. The next prime is 10100133061. The reversal of 10100133007 is 70033100101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 10100133007 - 2¹⁹ = 10099608719 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100133607) 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, 891844 + ... + 903097.

It is an arithmetic number, because the mean of its divisors is an integer number (1340821674).

Almost surely, 2^10100133007 is an apocalyptic number.

10100133007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10100133007 is a deficient number, since it is larger than the sum of its proper divisors (626440385).

10100133007 is a wasteful number, since it uses less digits than its factorization.

10100133007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795289.

The product of its (nonzero) digits is 63, while the sum is 16.

Adding to 10100133007 its reverse (70033100101), we get a palindrome (80133233108).

The spelling of 10100133007 in words is "ten billion, one hundred million, one hundred thirty-three thousand, seven".