20113332003100 has 144 divisors (see below), whose sum is σ = 50197643145216. Its totient is φ = 6852277728000.

The previous prime is 20113332003053. The next prime is 20113332003103. The reversal of 20113332003100 is 130023331102.

It is a super-2 number, since 2×20113332003100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20113332003103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219266245 + ... + 219357955.

It is an arithmetic number, because the mean of its divisors is an integer number (348594744064).

Almost surely, 2^{20113332003100} is an apocalyptic number.

20113332003100 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 20113332003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25098821572608).

20113332003100 is an abundant number, since it is smaller than the sum of its proper divisors (30084311142116).

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

20113332003100 is a wasteful number, since it uses less digits than its factorization.

20113332003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93716 (or 93709 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 20113332003100 its reverse (130023331102), we get a palindrome (20243355334202).

The spelling of 20113332003100 in words is "twenty trillion, one hundred thirteen billion, three hundred thirty-two million, three thousand, one hundred".