21131333201113 has 16 divisors (see below), whose sum is σ = 21627926931600. Its totient is φ = 20638397445120.

The previous prime is 21131333201087. The next prime is 21131333201117. The reversal of 21131333201113 is 31110233313112.

It can be written as a sum of positive squares in 8 ways, for example, as 6636538517904 + 14494794683209 = 2576148^2 + 3807203^2 .

It is a cyclic number.

It is not a de Polignac number, because 21131333201113 - 2⁵ = 21131333201081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21131333201117) 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 15 ways as a sum of consecutive naturals, for example, 68894373 + ... + 69200413.

It is an arithmetic number, because the mean of its divisors is an integer number (1351745433225).

Almost surely, 2^{21131333201113} is an apocalyptic number.

It is an amenable number.

21131333201113 is a deficient number, since it is larger than the sum of its proper divisors (496593730487).

21131333201113 is a wasteful number, since it uses less digits than its factorization.

21131333201113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312012.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 21131333201113 its reverse (31110233313112), we get a palindrome (52241566514225).

The spelling of 21131333201113 in words is "twenty-one trillion, one hundred thirty-one billion, three hundred thirty-three million, two hundred one thousand, one hundred thirteen".