21013323133000 has 128 divisors (see below), whose sum is σ = 53683924694400. Its totient is φ = 7635134112000.

The previous prime is 21013323132983. The next prime is 21013323133073. The reversal of 21013323133000 is 33132331012.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13090342 + ... + 14607658.

It is an arithmetic number, because the mean of its divisors is an integer number (419405661675).

Almost surely, 2^{21013323133000} is an apocalyptic number.

21013323133000 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 21013323133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26841962347200).

21013323133000 is an abundant number, since it is smaller than the sum of its proper divisors (32670601561400).

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

21013323133000 is a wasteful number, since it uses less digits than its factorization.

21013323133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518608 (or 1518594 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 21013323133000 its reverse (33132331012), we get a palindrome (21046455464012).

The spelling of 21013323133000 in words is "twenty-one trillion, thirteen billion, three hundred twenty-three million, one hundred thirty-three thousand".