111313012133201 has 2 divisors, whose sum is σ = 111313012133202. Its totient is φ = 111313012133200.

The previous prime is 111313012133161. The next prime is 111313012133209. The reversal of 111313012133201 is 102331210313111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66770535912976 + 44542476220225 = 8171324^2 + 6674015^2 .

It is a cyclic number.

It is not a de Polignac number, because 111313012133201 - 2⁶ = 111313012133137 is a prime.

It is not a weakly prime, because it can be changed into another prime (111313012133209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55656506066600 + 55656506066601.

It is an arithmetic number, because the mean of its divisors is an integer number (55656506066601).

Almost surely, 2^{111313012133201} is an apocalyptic number.

It is an amenable number.

111313012133201 is a deficient number, since it is larger than the sum of its proper divisors (1).

111313012133201 is an equidigital number, since it uses as much as digits as its factorization.

111313012133201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 111313012133201 its reverse (102331210313111), we get a palindrome (213644222446312).

The spelling of 111313012133201 in words is "one hundred eleven trillion, three hundred thirteen billion, twelve million, one hundred thirty-three thousand, two hundred one".