224021013121431 has 8 divisors (see below), whose sum is σ = 331882982402160. Its totient is φ = 149347342080936.

The previous prime is 224021013121403. The next prime is 224021013121483. The reversal of 224021013121431 is 134121310120422.

224021013121431 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 2 + 101 + 3 + 121 + 431 = 666.

It is not a de Polignac number, because 224021013121431 - 2³⁸ = 223746135214487 is a prime.

It is a super-2 number, since 2×224021013121431² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 8297074560053 = 224021013121431 / (2 + 2 + 4 + 0 + 2 + 1 + 0 + 1 + 3 + 1 + 2 + 1 + 4 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 224021013121395 and 224021013121404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224021013121231) 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 7 ways as a sum of consecutive naturals, for example, 4148537280000 + ... + 4148537280053.

It is an arithmetic number, because the mean of its divisors is an integer number (41485372800270).

Almost surely, 2^{224021013121431} is an apocalyptic number.

224021013121431 is a deficient number, since it is larger than the sum of its proper divisors (107861969280729).

224021013121431 is an equidigital number, since it uses as much as digits as its factorization.

224021013121431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297074560062 (or 8297074560056 counting only the distinct ones).

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

Adding to 224021013121431 its reverse (134121310120422), we get a palindrome (358142323241853).

The spelling of 224021013121431 in words is "two hundred twenty-four trillion, twenty-one billion, thirteen million, one hundred twenty-one thousand, four hundred thirty-one".