21131333201117 has 2 divisors, whose sum is σ = 21131333201118. Its totient is φ = 21131333201116.

The previous prime is 21131333201087. The next prime is 21131333201123. The reversal of 21131333201117 is 71110233313112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15957955657081 + 5173377544036 = 3994741^2 + 2274506^2 .

It is a cyclic number.

It is not a de Polignac number, because 21131333201117 - 2¹⁶ = 21131333135581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21131333201117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21131333231117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10565666600558 + 10565666600559.

It is an arithmetic number, because the mean of its divisors is an integer number (10565666600559).

Almost surely, 2^{21131333201117} is an apocalyptic number.

It is an amenable number.

21131333201117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21131333201117 is an equidigital number, since it uses as much as digits as its factorization.

21131333201117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 29.

Adding to 21131333201117 its reverse (71110233313112), we get a palindrome (92241566514229).

The spelling of 21131333201117 in words is "twenty-one trillion, one hundred thirty-one billion, three hundred thirty-three million, two hundred one thousand, one hundred seventeen".