21302122313133 has 16 divisors (see below), whose sum is σ = 31558830446400. Its totient is φ = 14201356050000.

The previous prime is 21302122313077. The next prime is 21302122313189. The reversal of 21302122313133 is 33131322120312.

21302122313133 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 212 + 2 + 313 + 133 = 666.

It is an interprime number because it is at equal distance from previous prime (21302122313077) and next prime (21302122313189).

It is not a de Polignac number, because 21302122313133 - 2¹⁶ = 21302122247597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21302122313097 and 21302122313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302122313333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5584738 + ... + 8590316.

It is an arithmetic number, because the mean of its divisors is an integer number (1972426902900).

Almost surely, 2^{21302122313133} is an apocalyptic number.

It is an amenable number.

21302122313133 is a deficient number, since it is larger than the sum of its proper divisors (10256708133267).

21302122313133 is a wasteful number, since it uses less digits than its factorization.

21302122313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268089 (or 3268083 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21302122313133 its reverse (33131322120312), we get a palindrome (54433444433445).

The spelling of 21302122313133 in words is "twenty-one trillion, three hundred two billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred thirty-three".