21013300311300 has 432 divisors, whose sum is σ = 78285170053440. Its totient is φ = 4794476544000.

The previous prime is 21013300311287. The next prime is 21013300311307. The reversal of 21013300311300 is 311300331012.

It is a happy number.

21013300311300 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 330 + 0 + 31 + 1 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21013300311307) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 7359220 + ... + 9807380.

It is an arithmetic number, because the mean of its divisors is an integer number (181215671420).

Almost surely, 2^{21013300311300} is an apocalyptic number.

21013300311300 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 21013300311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39142585026720).

21013300311300 is an abundant number, since it is smaller than the sum of its proper divisors (57271869742140).

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

21013300311300 is a wasteful number, since it uses less digits than its factorization.

21013300311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448229 (or 2448199 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 21013300311300 its reverse (311300331012), we get a palindrome (21324600642312).

The spelling of 21013300311300 in words is "twenty-one trillion, thirteen billion, three hundred million, three hundred eleven thousand, three hundred".