201130314 has 96 divisors (see below), whose sum is σ = 532170240. Its totient is φ = 49468320.

The previous prime is 201130301. The next prime is 201130327. The reversal of 201130314 is 413031102.

201130314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201130301) and next prime (201130327).

It is a junction number, because it is equal to n+sod(n) for n = 201130293 and 201130302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95517 + ... + 97599.

It is an arithmetic number, because the mean of its divisors is an integer number (5543440).

Almost surely, 2^201130314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201130314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266085120).

201130314 is an abundant number, since it is smaller than the sum of its proper divisors (331039926).

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

201130314 is a wasteful number, since it uses less digits than its factorization.

201130314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2125 counting only the distinct ones).

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

The square root of 201130314 is about 14182.0419545283. The cubic root of 201130314 is about 585.9031647777.

Adding to 201130314 its reverse (413031102), we get a palindrome (614161416).

The spelling of 201130314 in words is "two hundred one million, one hundred thirty thousand, three hundred fourteen".