10312433421337 has 2 divisors, whose sum is σ = 10312433421338. Its totient is φ = 10312433421336.

The previous prime is 10312433421287. The next prime is 10312433421359. The reversal of 10312433421337 is 73312433421301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8672059066896 + 1640374354441 = 2944836^2 + 1280771^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312433421337 - 2¹¹ = 10312433419289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10312433421296 and 10312433421305.

It is not a weakly prime, because it can be changed into another prime (10312433421737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156216710668 + 5156216710669.

It is an arithmetic number, because the mean of its divisors is an integer number (5156216710669).

Almost surely, 2^{10312433421337} is an apocalyptic number.

It is an amenable number.

10312433421337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312433421337 is an equidigital number, since it uses as much as digits as its factorization.

10312433421337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 37.

Adding to 10312433421337 its reverse (73312433421301), we get a palindrome (83624866842638).

The spelling of 10312433421337 in words is "ten trillion, three hundred twelve billion, four hundred thirty-three million, four hundred twenty-one thousand, three hundred thirty-seven".