201314104413200 has 120 divisors (see below), whose sum is σ = 504773809634688. Its totient is φ = 77011080791040.

The previous prime is 201314104413197. The next prime is 201314104413211. The reversal of 201314104413200 is 2314401413102.

It is a self number, because there is not a number n which added to its sum of digits gives 201314104413200.

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, 50873309 + ... + 54687491.

Almost surely, 2^{201314104413200} is an apocalyptic number.

201314104413200 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 201314104413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252386904817344).

201314104413200 is an abundant number, since it is smaller than the sum of its proper divisors (303459705221488).

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

201314104413200 is a wasteful number, since it uses less digits than its factorization.

201314104413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819961 (or 3819950 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 201314104413200 its reverse (2314401413102), we get a palindrome (203628505826302).

The spelling of 201314104413200 in words is "two hundred one trillion, three hundred fourteen billion, one hundred four million, four hundred thirteen thousand, two hundred".