2011133310100 has 72 divisors (see below), whose sum is σ = 4554214636608. Its totient is φ = 769424832000.

The previous prime is 2011133310079. The next prime is 2011133310113. The reversal of 2011133310100 is 10133311102.

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, 62053900 + ... + 62086300.

It is an arithmetic number, because the mean of its divisors is an integer number (63252981064).

Almost surely, 2^{2011133310100} is an apocalyptic number.

2011133310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011133310100 is an abundant number, since it is smaller than the sum of its proper divisors (2543081326508).

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

2011133310100 is a wasteful number, since it uses less digits than its factorization.

2011133310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59425 (or 59418 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 2011133310100 its reverse (10133311102), we get a palindrome (2021266621202).

The spelling of 2011133310100 in words is "two trillion, eleven billion, one hundred thirty-three million, three hundred ten thousand, one hundred".