201313120032 has 144 divisors (see below), whose sum is σ = 588227585400. Its totient is φ = 65260670976.

The previous prime is 201313120013. The next prime is 201313120111. The reversal of 201313120032 is 230021313102.

201313120032 is a `hidden beast` number, since 201 + 313 + 120 + 0 + 32 = 666.

201313120032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 173558892816 + 27754227216 = 416604^2 + 166596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201313119987 and 201313120014.

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, 44252094 + ... + 44256642.

Almost surely, 2^201313120032 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 201313120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294113792700).

201313120032 is an abundant number, since it is smaller than the sum of its proper divisors (386914465368).

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

201313120032 is a wasteful number, since it uses less digits than its factorization.

201313120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8755 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201313120032 its reverse (230021313102), we get a palindrome (431334433134).

The spelling of 201313120032 in words is "two hundred one billion, three hundred thirteen million, one hundred twenty thousand, thirty-two".