100133321301 has 12 divisors (see below), whose sum is σ = 155762944428. Its totient is φ = 61620505344.

The previous prime is 100133321269. The next prime is 100133321303. The reversal of 100133321301 is 103123331001.

It is a happy number.

100133321301 is a `hidden beast` number, since 10 + 0 + 1 + 33 + 321 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6625797201 + 93507524100 = 81399^2 + 305790^2 .

It is not a de Polignac number, because 100133321301 - 2⁵ = 100133321269 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133321303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427920060 + ... + 427920293.

It is an arithmetic number, because the mean of its divisors is an integer number (12980245369).

Almost surely, 2^100133321301 is an apocalyptic number.

It is an amenable number.

100133321301 is a deficient number, since it is larger than the sum of its proper divisors (55629623127).

100133321301 is a wasteful number, since it uses less digits than its factorization.

100133321301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855840372 (or 855840369 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100133321301 its reverse (103123331001), we get a palindrome (203256652302).

The spelling of 100133321301 in words is "one hundred billion, one hundred thirty-three million, three hundred twenty-one thousand, three hundred one".