21312112320253 has 2 divisors, whose sum is σ = 21312112320254. Its totient is φ = 21312112320252.

The previous prime is 21312112320229. The next prime is 21312112320263. The reversal of 21312112320253 is 35202321121312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19377445528324 + 1934666791929 = 4401982^2 + 1390923^2 .

It is a cyclic number.

It is not a de Polignac number, because 21312112320253 - 2⁹ = 21312112319741 is a prime.

It is a super-2 number, since 2×21312112320253² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21312112320203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10656056160126 + 10656056160127.

It is an arithmetic number, because the mean of its divisors is an integer number (10656056160127).

Almost surely, 2^{21312112320253} is an apocalyptic number.

It is an amenable number.

21312112320253 is a deficient number, since it is larger than the sum of its proper divisors (1).

21312112320253 is an equidigital number, since it uses as much as digits as its factorization.

21312112320253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 21312112320253 its reverse (35202321121312), we get a palindrome (56514433441565).

The spelling of 21312112320253 in words is "twenty-one trillion, three hundred twelve billion, one hundred twelve million, three hundred twenty thousand, two hundred fifty-three".