201321013200 has 120 divisors (see below), whose sum is σ = 678840405600. Its totient is φ = 50860039680.

The previous prime is 201321013177. The next prime is 201321013261. The reversal of 201321013200 is 2310123102.

It is a tau number, because it is divible by the number of its divisors (120).

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 201321013200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4392135 + ... + 4437734.

It is an arithmetic number, because the mean of its divisors is an integer number (5657003380).

Almost surely, 2^201321013200 is an apocalyptic number.

201321013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201321013200 is an abundant number, since it is smaller than the sum of its proper divisors (477519392400).

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

201321013200 is a wasteful number, since it uses less digits than its factorization.

201321013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8829909 (or 8829898 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201321013200 its reverse (2310123102), we get a palindrome (203631136302).

The spelling of 201321013200 in words is "two hundred one billion, three hundred twenty-one million, thirteen thousand, two hundred".