10131224329 has 2 divisors, whose sum is σ = 10131224330. Its totient is φ = 10131224328.

The previous prime is 10131224293. The next prime is 10131224333. The reversal of 10131224329 is 92342213101.

It is a happy number.

Together with previous prime (10131224293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9953055225 + 178169104 = 99765^2 + 13348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10131224329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131224297 and 10131224306.

It is not a weakly prime, because it can be changed into another prime (10131224339) 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, 5065612164 + 5065612165.

It is an arithmetic number, because the mean of its divisors is an integer number (5065612165).

Almost surely, 2^10131224329 is an apocalyptic number.

It is an amenable number.

10131224329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131224329 is an equidigital number, since it uses as much as digits as its factorization.

10131224329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

It can be divided in two parts, 1013122 and 4329, that added together give a triangular number (1017451 = T₁₄₂₆).

The spelling of 10131224329 in words is "ten billion, one hundred thirty-one million, two hundred twenty-four thousand, three hundred twenty-nine".