10032133313249 has 2 divisors, whose sum is σ = 10032133313250. Its totient is φ = 10032133313248.

The previous prime is 10032133313203. The next prime is 10032133313263. The reversal of 10032133313249 is 94231333123001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7451152902400 + 2580980410849 = 2729680^2 + 1606543^2 .

It is a cyclic number.

It is not a de Polignac number, because 10032133313249 - 2¹² = 10032133309153 is a prime.

It is a super-4 number, since 4×10032133313249⁴ (a number of 53 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (10032133313299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016066656624 + 5016066656625.

It is an arithmetic number, because the mean of its divisors is an integer number (5016066656625).

Almost surely, 2^{10032133313249} is an apocalyptic number.

It is an amenable number.

10032133313249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032133313249 is an equidigital number, since it uses as much as digits as its factorization.

10032133313249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 35.

The spelling of 10032133313249 in words is "ten trillion, thirty-two billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred forty-nine".