21233213103213 has 28 divisors (see below), whose sum is σ = 31839767638140. Its totient is φ = 14153469494976.

The previous prime is 21233213103199. The next prime is 21233213103227. The reversal of 21233213103213 is 31230131233212.

21233213103213 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 3 + 21 + 310 + 321 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (21233213103199) and next prime (21233213103227).

It can be written as a sum of positive squares in 2 ways, for example, as 4427165270889 + 16806047832324 = 2104083^2 + 4099518^2 .

It is not a de Polignac number, because 21233213103213 - 2⁵ = 21233213103181 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 (21233213103253) 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 27 ways as a sum of consecutive naturals, for example, 3093145 + ... + 7213457.

It is an arithmetic number, because the mean of its divisors is an integer number (1137134558505).

Almost surely, 2^{21233213103213} is an apocalyptic number.

It is an amenable number.

21233213103213 is a deficient number, since it is larger than the sum of its proper divisors (10606554534927).

21233213103213 is an frugal number, since it uses more digits than its factorization.

21233213103213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127400 (or 4127385 counting only the distinct ones).

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

Adding to 21233213103213 its reverse (31230131233212), we get a palindrome (52463344336425).

The spelling of 21233213103213 in words is "twenty-one trillion, two hundred thirty-three billion, two hundred thirteen million, one hundred three thousand, two hundred thirteen".