100302133000 has 32 divisors (see below), whose sum is σ = 234706993560. Its totient is φ = 40120852800.

The previous prime is 100302132977. The next prime is 100302133013. The reversal of 100302133000 is 331203001.

It can be written as a sum of positive squares in 4 ways, for example, as 52836539044 + 47465593956 = 229862^2 + 217866^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50150067 + ... + 50152066.

Almost surely, 2^100302133000 is an apocalyptic number.

100302133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100302133000 is an abundant number, since it is smaller than the sum of its proper divisors (134404860560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100302133000 is a wasteful number, since it uses less digits than its factorization.

100302133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100302154 (or 100302140 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 100302133000 its reverse (331203001), we get a palindrome (100633336001).

The spelling of 100302133000 in words is "one hundred billion, three hundred two million, one hundred thirty-three thousand".