12300032031137 has 2 divisors, whose sum is σ = 12300032031138. Its totient is φ = 12300032031136.

The previous prime is 12300032031107. The next prime is 12300032031139. The reversal of 12300032031137 is 73113023000321.

12300032031137 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., 6375013964641 + 5925018066496 = 2524879^2 + 2434136^2 .

It is a cyclic number.

It is not a de Polignac number, because 12300032031137 - 2¹⁶ = 12300031965601 is a prime.

It is a super-3 number, since 3×12300032031137³ (a number of 40 digits) contains 333 as substring.

Together with 12300032031139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12300032031139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6150016015568 + 6150016015569.

It is an arithmetic number, because the mean of its divisors is an integer number (6150016015569).

Almost surely, 2^{12300032031137} is an apocalyptic number.

It is an amenable number.

12300032031137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12300032031137 is an equidigital number, since it uses as much as digits as its factorization.

12300032031137 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 26.

Adding to 12300032031137 its reverse (73113023000321), we get a palindrome (85413055031458).

The spelling of 12300032031137 in words is "twelve trillion, three hundred billion, thirty-two million, thirty-one thousand, one hundred thirty-seven".