201321101300 has 144 divisors (see below), whose sum is σ = 481146329664. Its totient is φ = 72508800000.

The previous prime is 201321101281. The next prime is 201321101327. The reversal of 201321101300 is 3101123102.

201321101300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101013104 + ... + 101015096.

It is an arithmetic number, because the mean of its divisors is an integer number (3341293956).

Almost surely, 2^201321101300 is an apocalyptic number.

201321101300 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 201321101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240573164832).

201321101300 is an abundant number, since it is smaller than the sum of its proper divisors (279825228364).

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

201321101300 is a wasteful number, since it uses less digits than its factorization.

201321101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 201321101300 its reverse (3101123102), we get a palindrome (204422224402).

The spelling of 201321101300 in words is "two hundred one billion, three hundred twenty-one million, one hundred one thousand, three hundred".