201001323303312 has 320 divisors, whose sum is σ = 633816576000000. Its totient is φ = 53767703316480.

The previous prime is 201001323303293. The next prime is 201001323303323. The reversal of 201001323303312 is 213303323100102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314977939 + ... + 315615437.

It is an arithmetic number, because the mean of its divisors is an integer number (1980676800000).

Almost surely, 2^{201001323303312} 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 201001323303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316908288000000).

201001323303312 is an abundant number, since it is smaller than the sum of its proper divisors (432815252696688).

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

201001323303312 is a wasteful number, since it uses less digits than its factorization.

201001323303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637759 (or 637719 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 201001323303312 its reverse (213303323100102), we get a palindrome (414304646403414).

The spelling of 201001323303312 in words is "two hundred one trillion, one billion, three hundred twenty-three million, three hundred three thousand, three hundred twelve".