21333012131333 has 24 divisors (see below), whose sum is σ = 27181773984600. Its totient is φ = 16616382655488.

The previous prime is 21333012131297. The next prime is 21333012131359. The reversal of 21333012131333 is 33313121033312.

It can be written as a sum of positive squares in 4 ways, for example, as 3216258452449 + 18116753678884 = 1793393^2 + 4256378^2 .

It is not a de Polignac number, because 21333012131333 - 2¹⁸ = 21333011869189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21333012131296 and 21333012131305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21333012130333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441525128 + ... + 441573441.

It is an arithmetic number, because the mean of its divisors is an integer number (1132573916025).

Almost surely, 2^{21333012131333} is an apocalyptic number.

It is an amenable number.

21333012131333 is a deficient number, since it is larger than the sum of its proper divisors (5848761853267).

21333012131333 is a wasteful number, since it uses less digits than its factorization.

21333012131333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883098629 (or 883098622 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 21333012131333 its reverse (33313121033312), we get a palindrome (54646133164645).

The spelling of 21333012131333 in words is "twenty-one trillion, three hundred thirty-three billion, twelve million, one hundred thirty-one thousand, three hundred thirty-three".