200303131332100 has 72 divisors (see below), whose sum is σ = 435339001911240. Its totient is φ = 79995747256320.

The previous prime is 200303131331987. The next prime is 200303131332113. The reversal of 200303131332100 is 1233131303002.

200303131332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 334345307076 + 199968786025024 = 578226^2 + 14141032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256004286 + ... + 256785514.

It is an arithmetic number, because the mean of its divisors is an integer number (6046375026545).

Almost surely, 2^{200303131332100} is an apocalyptic number.

200303131332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200303131332100 is an abundant number, since it is smaller than the sum of its proper divisors (235035870579140).

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

200303131332100 is a wasteful number, since it uses less digits than its factorization.

200303131332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785257 (or 785250 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 200303131332100 its reverse (1233131303002), we get a palindrome (201536262635102).

The spelling of 200303131332100 in words is "two hundred trillion, three hundred three billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred".