21122112201313 has 16 divisors (see below), whose sum is σ = 22010349548880. Its totient is φ = 20245075787776.

The previous prime is 21122112201271. The next prime is 21122112201341. The reversal of 21122112201313 is 31310221122112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1809541516864 + 19312570684449 = 1345192^2 + 4394607^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122112201313 - 2⁹ = 21122112200801 is a prime.

It is a super-2 number, since 2×21122112201313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21122112201343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2652520 + ... + 7019977.

It is an arithmetic number, because the mean of its divisors is an integer number (1375646846805).

Almost surely, 2^{21122112201313} is an apocalyptic number.

It is an amenable number.

21122112201313 is a deficient number, since it is larger than the sum of its proper divisors (888237347567).

21122112201313 is a wasteful number, since it uses less digits than its factorization.

21122112201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9673076.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 21122112201313 its reverse (31310221122112), we get a palindrome (52432333323425).

The spelling of 21122112201313 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred one thousand, three hundred thirteen".