201300311100 has 288 divisors, whose sum is σ = 678698116096. Its totient is φ = 45113241600.

The previous prime is 201300311077. The next prime is 201300311119. The reversal of 201300311100 is 1113003102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43167369 + ... + 43172031.

Almost surely, 2^201300311100 is an apocalyptic number.

201300311100 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 201300311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339349058048).

201300311100 is an abundant number, since it is smaller than the sum of its proper divisors (477397804996).

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

201300311100 is a wasteful number, since it uses less digits than its factorization.

201300311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 201300311100 its reverse (1113003102), we get a palindrome (202413314202).

The spelling of 201300311100 in words is "two hundred one billion, three hundred million, three hundred eleven thousand, one hundred".