201002313312 has 144 divisors (see below), whose sum is σ = 576416917440. Its totient is φ = 66437395200.

The previous prime is 201002313311. The next prime is 201002313341. The reversal of 201002313312 is 213313200102.

201002313312 is a `hidden beast` number, since 2 + 0 + 100 + 231 + 331 + 2 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002313311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38868487 + ... + 38873657.

It is an arithmetic number, because the mean of its divisors is an integer number (4002895260).

Almost surely, 2^201002313312 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 201002313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288208458720).

201002313312 is an abundant number, since it is smaller than the sum of its proper divisors (375414604128).

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

201002313312 is a wasteful number, since it uses less digits than its factorization.

201002313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6297 (or 6286 counting only the distinct ones).

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

Adding to 201002313312 its reverse (213313200102), we get a palindrome (414315513414).

The spelling of 201002313312 in words is "two hundred one billion, two million, three hundred thirteen thousand, three hundred twelve".