100013020133 has 8 divisors (see below), whose sum is σ = 107714175576. Its totient is φ = 92312985600.

The previous prime is 100013020123. The next prime is 100013020169. The reversal of 100013020133 is 331020310001.

It can be written as a sum of positive squares in 4 ways, for example, as 29529672964 + 70483347169 = 171842^2 + 265487^2 .

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-100013020133 is a prime.

It is a super-2 number, since 2×100013020133² (a number of 23 digits) contains 22 as substring.

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 (100013020123) 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, 90128 + ... + 456233.

It is an arithmetic number, because the mean of its divisors is an integer number (13464271947).

Almost surely, 2^100013020133 is an apocalyptic number.

100013020133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100013020133 is a deficient number, since it is larger than the sum of its proper divisors (7701155443).

100013020133 is a wasteful number, since it uses less digits than its factorization.

100013020133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560455.

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

Adding to 100013020133 its reverse (331020310001), we get a palindrome (431033330134).

The spelling of 100013020133 in words is "one hundred billion, thirteen million, twenty thousand, one hundred thirty-three".