2013023211100 has 288 divisors, whose sum is σ = 4985185927680. Its totient is φ = 699159552000.

The previous prime is 2013023211079. The next prime is 2013023211119. The reversal of 2013023211100 is 11123203102.

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 95 ways as a sum of consecutive naturals, for example, 422990521 + ... + 422995279.

It is an arithmetic number, because the mean of its divisors is an integer number (17309673360).

Almost surely, 2^{2013023211100} is an apocalyptic number.

2013023211100 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 2013023211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492592963840).

2013023211100 is an abundant number, since it is smaller than the sum of its proper divisors (2972162716580).

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

2013023211100 is a wasteful number, since it uses less digits than its factorization.

2013023211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2013023211100 its reverse (11123203102), we get a palindrome (2024146414202).

The spelling of 2013023211100 in words is "two trillion, thirteen billion, twenty-three million, two hundred eleven thousand, one hundred".