2133313111100 has 72 divisors (see below), whose sum is σ = 4759700318016. Its totient is φ = 829440000000.

The previous prime is 2133313111073. The next prime is 2133313111133. The reversal of 2133313111100 is 11113133312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151100 + ... + 2071100.

Almost surely, 2^{2133313111100} is an apocalyptic number.

2133313111100 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 2133313111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379850159008).

2133313111100 is an abundant number, since it is smaller than the sum of its proper divisors (2626387206916).

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

2133313111100 is a wasteful number, since it uses less digits than its factorization.

2133313111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920327 (or 1920320 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 2133313111100 its reverse (11113133312), we get a palindrome (2144426244412).

The spelling of 2133313111100 in words is "two trillion, one hundred thirty-three billion, three hundred thirteen million, one hundred eleven thousand, one hundred".