20113113333200 has 240 divisors, whose sum is σ = 51391320673536. Its totient is φ = 7547720294400.

The previous prime is 20113113333163. The next prime is 20113113333239. The reversal of 20113113333200 is 233331131102.

It is a super-2 number, since 2×20113113333200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2114716445 + ... + 2114725955.

Almost surely, 2^{20113113333200} is an apocalyptic number.

20113113333200 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 20113113333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25695660336768).

20113113333200 is an abundant number, since it is smaller than the sum of its proper divisors (31278207340336).

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

20113113333200 is a wasteful number, since it uses less digits than its factorization.

20113113333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 20113113333200 its reverse (233331131102), we get a palindrome (20346444464302).

The spelling of 20113113333200 in words is "twenty trillion, one hundred thirteen billion, one hundred thirteen million, three hundred thirty-three thousand, two hundred".