513231223110121 has 2 divisors, whose sum is σ = 513231223110122. Its totient is φ = 513231223110120.

The previous prime is 513231223110091. The next prime is 513231223110131. The reversal of 513231223110121 is 121011322132315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298475240862096 + 214755982248025 = 17276436^2 + 14654555^2 .

It is a cyclic number.

It is not a de Polignac number, because 513231223110121 - 2⁹ = 513231223109609 is a prime.

It is a super-2 number, since 2×513231223110121² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513231223110121.

It is not a weakly prime, because it can be changed into another prime (513231223110131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256615611555060 + 256615611555061.

It is an arithmetic number, because the mean of its divisors is an integer number (256615611555061).

Almost surely, 2^{513231223110121} is an apocalyptic number.

It is an amenable number.

513231223110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

513231223110121 is an equidigital number, since it uses as much as digits as its factorization.

513231223110121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 513231223110121 its reverse (121011322132315), we get a palindrome (634242545242436).

The spelling of 513231223110121 in words is "five hundred thirteen trillion, two hundred thirty-one billion, two hundred twenty-three million, one hundred ten thousand, one hundred twenty-one".