21042222224013 has 96 divisors (see below), whose sum is σ = 32751063072000. Its totient is φ = 12985655316480.

The previous prime is 21042222224003. The next prime is 21042222224027. The reversal of 21042222224013 is 31042222224012.

21042222224013 is a `hidden beast` number, since 2 + 1 + 0 + 422 + 2 + 2 + 224 + 0 + 13 = 666.

It is not a de Polignac number, because 21042222224013 - 2¹⁸ = 21042221961869 is a prime.

It is a super-2 number, since 2×21042222224013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21042222224003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1742909745 + ... + 1742921817.

It is an arithmetic number, because the mean of its divisors is an integer number (341156907000).

Almost surely, 2^{21042222224013} is an apocalyptic number.

21042222224013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21042222224013 is a deficient number, since it is larger than the sum of its proper divisors (11708840847987).

21042222224013 is a wasteful number, since it uses less digits than its factorization.

21042222224013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13779 (or 13776 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21042222224013 its reverse (31042222224012), we get a palindrome (52084444448025).

Subtracting 21042222224013 from its reverse (31042222224012), we obtain a palindrome (9999999999999).

The spelling of 21042222224013 in words is "twenty-one trillion, forty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, thirteen".