201013312 has 56 divisors (see below), whose sum is σ = 427939200. Its totient is φ = 93390336.

The previous prime is 201013291. The next prime is 201013349. The reversal of 201013312 is 213310102.

201013312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201013292 and 201013301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62889 + ... + 66007.

Almost surely, 2^201013312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213969600).

201013312 is an abundant number, since it is smaller than the sum of its proper divisors (226925888).

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

201013312 is a wasteful number, since it uses less digits than its factorization.

201013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 201013312 is about 14177.9163490267. The cubic root of 201013312 is about 585.7895317509.

Adding to 201013312 its reverse (213310102), we get a palindrome (414323414).

The spelling of 201013312 in words is "two hundred one million, thirteen thousand, three hundred twelve".