21013130130300 has 1152 divisors, whose sum is σ = 86040253071360. Its totient is φ = 4273032960000.

The previous prime is 21013130130257. The next prime is 21013130130319. The reversal of 21013130130300 is 303103131012.

It is a happy number.

21013130130300 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 31 + 301 + 30 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2022238105 + ... + 2022248495.

It is an arithmetic number, because the mean of its divisors is an integer number (74687719680).

Almost surely, 2^{21013130130300} is an apocalyptic number.

21013130130300 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 21013130130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43020126535680).

21013130130300 is an abundant number, since it is smaller than the sum of its proper divisors (65027122941060).

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

21013130130300 is a wasteful number, since it uses less digits than its factorization.

21013130130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10640 (or 10627 counting only the distinct ones).

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

Adding to 21013130130300 its reverse (303103131012), we get a palindrome (21316233261312).

The spelling of 21013130130300 in words is "twenty-one trillion, thirteen billion, one hundred thirty million, one hundred thirty thousand, three hundred".