201131100 has 252 divisors, whose sum is σ = 683081280. Its totient is φ = 51321600.

The previous prime is 201131083. The next prime is 201131123. The reversal of 201131100 is 1131102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2259856 + ... + 2259944.

It is an arithmetic number, because the mean of its divisors is an integer number (2710640).

Almost surely, 2^201131100 is an apocalyptic number.

201131100 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 201131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341540640).

201131100 is an abundant number, since it is smaller than the sum of its proper divisors (481950180).

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

201131100 is a wasteful number, since it uses less digits than its factorization.

201131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 201131100 is about 14182.0696656024. The cubic root of 201131100 is about 585.9039279965.

Adding to 201131100 its reverse (1131102), we get a palindrome (202262202).

The spelling of 201131100 in words is "two hundred one million, one hundred thirty-one thousand, one hundred".