201001311300000 has 1152 divisors, whose sum is σ = 706061171692800. Its totient is φ = 49972285440000.

The previous prime is 201001311299951. The next prime is 201001311300091. The reversal of 201001311300000 is 3113100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 191 ways as a sum of consecutive naturals, for example, 33294896982 + ... + 33294903018.

It is an arithmetic number, because the mean of its divisors is an integer number (612900322650).

Almost surely, 2^{201001311300000} is an apocalyptic number.

201001311300000 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 201001311300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353030585846400).

201001311300000 is an abundant number, since it is smaller than the sum of its proper divisors (505059860392800).

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

201001311300000 is an equidigital number, since it uses as much as digits as its factorization.

201001311300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236 (or 6208 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 201001311300000 its reverse (3113100102), we get a palindrome (201004424400102).

The spelling of 201001311300000 in words is "two hundred one trillion, one billion, three hundred eleven million, three hundred thousand".