2013331123100 has 72 divisors (see below), whose sum is σ = 4769456901888. Its totient is φ = 731605348800.

The previous prime is 2013331123073. The next prime is 2013331123103. The reversal of 2013331123100 is 13211333102.

It is a super-2 number, since 2×2013331123100² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013331123103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 922187 + ... + 2208413.

Almost surely, 2^{2013331123100} is an apocalyptic number.

2013331123100 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 2013331123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384728450944).

2013331123100 is an abundant number, since it is smaller than the sum of its proper divisors (2756125778788).

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

2013331123100 is a wasteful number, since it uses less digits than its factorization.

2013331123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287675 (or 1287668 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2013331123100 its reverse (13211333102), we get a palindrome (2026542456202).

The spelling of 2013331123100 in words is "two trillion, thirteen billion, three hundred thirty-one million, one hundred twenty-three thousand, one hundred".