10031233133329 has 2 divisors, whose sum is σ = 10031233133330. Its totient is φ = 10031233133328.

The previous prime is 10031233133297. The next prime is 10031233133359. The reversal of 10031233133329 is 92333133213001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6890877002304 + 3140356131025 = 2625048^2 + 1772105^2 .

It is an emirp because it is prime and its reverse (92333133213001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10031233133329 - 2⁵ = 10031233133297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10031233133294 and 10031233133303.

It is not a weakly prime, because it can be changed into another prime (10031233133359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015616566664 + 5015616566665.

It is an arithmetic number, because the mean of its divisors is an integer number (5015616566665).

Almost surely, 2^{10031233133329} is an apocalyptic number.

It is an amenable number.

10031233133329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031233133329 is an equidigital number, since it uses as much as digits as its factorization.

10031233133329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26244, while the sum is 34.

The spelling of 10031233133329 in words is "ten trillion, thirty-one billion, two hundred thirty-three million, one hundred thirty-three thousand, three hundred twenty-nine".