201100001300 has 72 divisors (see below), whose sum is σ = 476694406272. Its totient is φ = 73029600000.

The previous prime is 201100001299. The next prime is 201100001303. The reversal of 201100001300 is 3100001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100001303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704384 + ... + 947816.

Almost surely, 2^201100001300 is an apocalyptic number.

201100001300 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 201100001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238347203136).

201100001300 is an abundant number, since it is smaller than the sum of its proper divisors (275594404972).

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

201100001300 is a wasteful number, since it uses less digits than its factorization.

201100001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244209 (or 244202 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 201100001300 its reverse (3100001102), we get a palindrome (204200002402).

The spelling of 201100001300 in words is "two hundred one billion, one hundred million, one thousand, three hundred".