1002100232133 has 96 divisors (see below), whose sum is σ = 1944610117632. Its totient is φ = 480244982400.

The previous prime is 1002100232129. The next prime is 1002100232141. The reversal of 1002100232133 is 3312320012001.

1002100232133 is a `hidden beast` number, since 100 + 210 + 0 + 2 + 321 + 33 = 666.

1002100232133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002100232133 - 2² = 1002100232129 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 (1002100232113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15706888 + ... + 15770558.

It is an arithmetic number, because the mean of its divisors is an integer number (20256355392).

Almost surely, 2^{1002100232133} is an apocalyptic number.

1002100232133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1002100232133 is a deficient number, since it is larger than the sum of its proper divisors (942509885499).

1002100232133 is a wasteful number, since it uses less digits than its factorization.

1002100232133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65455 (or 65452 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1002100232133 its reverse (3312320012001), we get a palindrome (4314420244134).

The spelling of 1002100232133 in words is "one trillion, two billion, one hundred million, two hundred thirty-two thousand, one hundred thirty-three".