20103311032200 has 1152 divisors, whose sum is σ = 81654297004800. Its totient is φ = 4379139072000.

The previous prime is 20103311032127. The next prime is 20103311032201. The reversal of 20103311032200 is 223011330102.

20103311032200 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 331 + 10 + 322 + 0 + 0 = 666.

It is a super-2 number, since 2×20103311032200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20103311032201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 488623630 + ... + 488664770.

It is an arithmetic number, because the mean of its divisors is an integer number (70880466150).

Almost surely, 2^{20103311032200} is an apocalyptic number.

20103311032200 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 20103311032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40827148502400).

20103311032200 is an abundant number, since it is smaller than the sum of its proper divisors (61550985972600).

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

20103311032200 is a wasteful number, since it uses less digits than its factorization.

20103311032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41263 (or 41251 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20103311032200 its reverse (223011330102), we get a palindrome (20326322362302).

The spelling of 20103311032200 in words is "twenty trillion, one hundred three billion, three hundred eleven million, thirty-two thousand, two hundred".