21242213121213 has 32 divisors (see below), whose sum is σ = 37529375846400. Its totient is φ = 11610650647728.

The previous prime is 21242213121149. The next prime is 21242213121221. The reversal of 21242213121213 is 31212131224212.

21242213121213 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 221 + 312 + 121 + 3 = 666.

It is not a de Polignac number, because 21242213121213 - 2⁶ = 21242213121149 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21242213121293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2443314393 + ... + 2443323086.

It is an arithmetic number, because the mean of its divisors is an integer number (1172792995200).

Almost surely, 2^{21242213121213} is an apocalyptic number.

21242213121213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21242213121213 is a deficient number, since it is larger than the sum of its proper divisors (16287162725187).

21242213121213 is a wasteful number, since it uses less digits than its factorization.

21242213121213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886637518 (or 4886637512 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 21242213121213 its reverse (31212131224212), we get a palindrome (52454344345425).

The spelling of 21242213121213 in words is "twenty-one trillion, two hundred forty-two billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred thirteen".