21342133340433 has 64 divisors (see below), whose sum is σ = 32058572636160. Its totient is φ = 14031208800000.

The previous prime is 21342133340389. The next prime is 21342133340477. The reversal of 21342133340433 is 33404333124312.

21342133340433 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 213 + 3 + 3 + 4 + 0 + 433 = 666.

It is an interprime number because it is at equal distance from previous prime (21342133340389) and next prime (21342133340477).

It is not a de Polignac number, because 21342133340433 - 2¹³ = 21342133332241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21342133340933) 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 63 ways as a sum of consecutive naturals, for example, 752768208 + ... + 752796558.

It is an arithmetic number, because the mean of its divisors is an integer number (500915197440).

Almost surely, 2^{21342133340433} is an apocalyptic number.

It is an amenable number.

21342133340433 is a deficient number, since it is larger than the sum of its proper divisors (10716439295727).

21342133340433 is a wasteful number, since it uses less digits than its factorization.

21342133340433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29707 (or 29701 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 21342133340433 its reverse (33404333124312), we get a palindrome (54746466464745).

The spelling of 21342133340433 in words is "twenty-one trillion, three hundred forty-two billion, one hundred thirty-three million, three hundred forty thousand, four hundred thirty-three".