21013333133100 has 576 divisors, whose sum is σ = 79151493980160. Its totient is φ = 4173660057600.

The previous prime is 21013333133059. The next prime is 21013333133101. The reversal of 21013333133100 is 133133331012.

It is a super-2 number, since 2×21013333133100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21013333133101) 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 191 ways as a sum of consecutive naturals, for example, 809156916 + ... + 809182884.

It is an arithmetic number, because the mean of its divisors is an integer number (137415788160).

Almost surely, 2^{21013333133100} is an apocalyptic number.

21013333133100 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 21013333133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39575746990080).

21013333133100 is an abundant number, since it is smaller than the sum of its proper divisors (58138160847060).

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

21013333133100 is a wasteful number, since it uses less digits than its factorization.

21013333133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27550 (or 27543 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 21013333133100 its reverse (133133331012), we get a palindrome (21146466464112).

The spelling of 21013333133100 in words is "twenty-one trillion, thirteen billion, three hundred thirty-three million, one hundred thirty-three thousand, one hundred".