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211311032200013 is a prime number
BaseRepresentation
bin110000000010111110101111…
…000000101110101101001101
31000201012010201011020120222102
4300002332233000232231031
5210144104443220400023
62025230540440324445
762336501236550114
oct6002765700565515
91021163634216872
10211311032200013
116136a56189a729
121b8495b1173725
1390ba711001625
143a27719590c7b
151966a41707628
hexc02faf02eb4d

211311032200013 has 2 divisors, whose sum is σ = 211311032200014. Its totient is φ = 211311032200012.

The previous prime is 211311032199959. The next prime is 211311032200019. The reversal of 211311032200013 is 310002230113112.

It is a happy number.

211311032200013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209555097136324 + 1755935063689 = 14476018^2 + 1325117^2 .

It is a cyclic number.

It is not a de Polignac number, because 211311032200013 - 222 = 211311028005709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211311032200019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105655516100006 + 105655516100007.

It is an arithmetic number, because the mean of its divisors is an integer number (105655516100007).

Almost surely, 2211311032200013 is an apocalyptic number.

It is an amenable number.

211311032200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211311032200013 is an equidigital number, since it uses as much as digits as its factorization.

211311032200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211311032200013 its reverse (310002230113112), we get a palindrome (521313262313125).

The spelling of 211311032200013 in words is "two hundred eleven trillion, three hundred eleven billion, thirty-two million, two hundred thousand, thirteen".