201001311301320 has 256 divisors, whose sum is σ = 705462683904000. Its totient is φ = 50765244058368.

The previous prime is 201001311301313. The next prime is 201001311301337. The reversal of 201001311301320 is 23103113100102.

201001311301320 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 1 + 311 + 30 + 1 + 320 = 666.

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 = 201001311301293 and 201001311301302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72992127 + ... + 75695793.

It is an arithmetic number, because the mean of its divisors is an integer number (2755713609000).

Almost surely, 2^{201001311301320} is an apocalyptic number.

201001311301320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201001311301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352731341952000).

201001311301320 is an abundant number, since it is smaller than the sum of its proper divisors (504461372602680).

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

201001311301320 is a wasteful number, since it uses less digits than its factorization.

201001311301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707329 (or 2707319 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201001311301320 its reverse (23103113100102), we get a palindrome (224104424401422).

The spelling of 201001311301320 in words is "two hundred one trillion, one billion, three hundred eleven million, three hundred one thousand, three hundred twenty".