22321331013253 has 2 divisors, whose sum is σ = 22321331013254. Its totient is φ = 22321331013252.

The previous prime is 22321331013109. The next prime is 22321331013301. The reversal of 22321331013253 is 35231013312322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20521824130404 + 1799506882849 = 4530102^2 + 1341457^2 .

It is a cyclic number.

It is not a de Polignac number, because 22321331013253 - 2⁹ = 22321331012741 is a prime.

It is a super-3 number, since 3×22321331013253³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29321331013253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11160665506626 + 11160665506627.

It is an arithmetic number, because the mean of its divisors is an integer number (11160665506627).

Almost surely, 2^{22321331013253} is an apocalyptic number.

It is an amenable number.

22321331013253 is a deficient number, since it is larger than the sum of its proper divisors (1).

22321331013253 is an equidigital number, since it uses as much as digits as its factorization.

22321331013253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 22321331013253 its reverse (35231013312322), we get a palindrome (57552344325575).

The spelling of 22321331013253 in words is "twenty-two trillion, three hundred twenty-one billion, three hundred thirty-one million, thirteen thousand, two hundred fifty-three".