201131200 has 42 divisors (see below), whose sum is σ = 494912396. Its totient is φ = 80451840.

The previous prime is 201131197. The next prime is 201131201. The reversal of 201131200 is 2131102.

It is a super-2 number, since 2×201131200² = 80907519226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61254 + ... + 64453.

Almost surely, 2^201131200 is an apocalyptic number.

201131200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201131200 is an abundant number, since it is smaller than the sum of its proper divisors (293781196).

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

201131200 is a wasteful number, since it uses less digits than its factorization.

201131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125729 (or 125714 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 201131200 is about 14182.0731911805. The cubic root of 201131200 is about 585.9040250980.

Adding to 201131200 its reverse (2131102), we get a palindrome (203262302).

The spelling of 201131200 in words is "two hundred one million, one hundred thirty-one thousand, two hundred".