2133795302100 has 1296 divisors, whose sum is σ = 9177160749120. Its totient is φ = 408631910400.

The previous prime is 2133795302099. The next prime is 2133795302113. The reversal of 2133795302100 is 12035973312.

It is a happy number.

2133795302100 is a `hidden beast` number, since 2 + 1 + 33 + 79 + 530 + 21 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 341022172 + ... + 341028428.

Almost surely, 2^{2133795302100} is an apocalyptic number.

2133795302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133795302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588580374560).

2133795302100 is an abundant number, since it is smaller than the sum of its proper divisors (7043365447020).

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

2133795302100 is a wasteful number, since it uses less digits than its factorization.

2133795302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 2133795302100 in words is "two trillion, one hundred thirty-three billion, seven hundred ninety-five million, three hundred two thousand, one hundred".