201312211300 has 72 divisors (see below), whose sum is σ = 451112571392. Its totient is φ = 77897376000.

The previous prime is 201312211291. The next prime is 201312211313. The reversal of 201312211300 is 3112213102.

201312211300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9143305 + ... + 9165295.

Almost surely, 2^201312211300 is an apocalyptic number.

201312211300 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 201312211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225556285696).

201312211300 is an abundant number, since it is smaller than the sum of its proper divisors (249800360092).

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

201312211300 is a wasteful number, since it uses less digits than its factorization.

201312211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24989 (or 24982 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 201312211300 its reverse (3112213102), we get a palindrome (204424424402).

The spelling of 201312211300 in words is "two hundred one billion, three hundred twelve million, two hundred eleven thousand, three hundred".