201313111200 has 72 divisors (see below), whose sum is σ = 655274184768. Its totient is φ = 53683495680.

The previous prime is 201313111183. The next prime is 201313111211. The reversal of 201313111200 is 2111313102.

It is a happy number.

201313111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201313111200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41937832 + ... + 41942631.

It is an arithmetic number, because the mean of its divisors is an integer number (9101030344).

Almost surely, 2^201313111200 is an apocalyptic number.

201313111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201313111200 is an abundant number, since it is smaller than the sum of its proper divisors (453961073568).

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

201313111200 is a wasteful number, since it uses less digits than its factorization.

201313111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83880486 (or 83880473 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 201313111200 its reverse (2111313102), we get a palindrome (203424424302).

The spelling of 201313111200 in words is "two hundred one billion, three hundred thirteen million, one hundred eleven thousand, two hundred".