201131312110200 has 144 divisors (see below), whose sum is σ = 675556616386080. Its totient is φ = 53627820410880.

The previous prime is 201131312110151. The next prime is 201131312110219. The reversal of 201131312110200 is 2011213131102.

201131312110200 is a `hidden beast` number, since 2 + 0 + 11 + 31 + 312 + 110 + 200 = 666.

It is a super-2 number, since 2×201131312110200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5930337 + ... + 20914863.

It is an arithmetic number, because the mean of its divisors is an integer number (4691365391570).

Almost surely, 2^{201131312110200} is an apocalyptic number.

201131312110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201131312110200 is an abundant number, since it is smaller than the sum of its proper divisors (474425304275880).

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

201131312110200 is a wasteful number, since it uses less digits than its factorization.

201131312110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14992006 (or 14991994 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201131312110200 its reverse (2011213131102), we get a palindrome (203142525241302).

The spelling of 201131312110200 in words is "two hundred one trillion, one hundred thirty-one billion, three hundred twelve million, one hundred ten thousand, two hundred".