2033413202100 has 576 divisors, whose sum is σ = 7183457229312. Its totient is φ = 433520640000.

The previous prime is 2033413202099. The next prime is 2033413202123. The reversal of 2033413202100 is 12023143302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2900731750 + ... + 2900732450.

It is an arithmetic number, because the mean of its divisors is an integer number (12471279912).

Almost surely, 2^{2033413202100} is an apocalyptic number.

2033413202100 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 2033413202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591728614656).

2033413202100 is an abundant number, since it is smaller than the sum of its proper divisors (5150044027212).

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

2033413202100 is a wasteful number, since it uses less digits than its factorization.

2033413202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2033413202100 its reverse (12023143302), we get a palindrome (2045436345402).

The spelling of 2033413202100 in words is "two trillion, thirty-three billion, four hundred thirteen million, two hundred two thousand, one hundred".