21123213233113 has 8 divisors (see below), whose sum is σ = 22970235058632. Its totient is φ = 19343355837696.

The previous prime is 21123213233077. The next prime is 21123213233191. The reversal of 21123213233113 is 31133231232112.

It can be written as a sum of positive squares in 4 ways, for example, as 16854539063184 + 4268674169929 = 4105428^2 + 2066077^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21123213233113 - 2¹⁷ = 21123213102041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21123213236113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16791106870 + ... + 16791108127.

It is an arithmetic number, because the mean of its divisors is an integer number (2871279382329).

Almost surely, 2^{21123213233113} is an apocalyptic number.

It is an amenable number.

21123213233113 is a deficient number, since it is larger than the sum of its proper divisors (1847021825519).

21123213233113 is a wasteful number, since it uses less digits than its factorization.

21123213233113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33582215051.

The product of its digits is 3888, while the sum is 28.

Adding to 21123213233113 its reverse (31133231232112), we get a palindrome (52256444465225).

The spelling of 21123213233113 in words is "twenty-one trillion, one hundred twenty-three billion, two hundred thirteen million, two hundred thirty-three thousand, one hundred thirteen".