10000131329 has 2 divisors, whose sum is σ = 10000131330. Its totient is φ = 10000131328.

The previous prime is 10000131223. The next prime is 10000131353. The reversal of 10000131329 is 92313100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9757488400 + 242642929 = 98780^2 + 15577^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000131329 - 2¹⁶ = 10000065793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000131329.

It is not a weakly prime, because it can be changed into another prime (10000131829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000065664 + 5000065665.

It is an arithmetic number, because the mean of its divisors is an integer number (5000065665).

Almost surely, 2^10000131329 is an apocalyptic number.

It is an amenable number.

10000131329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000131329 is an equidigital number, since it uses as much as digits as its factorization.

10000131329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 10000131329 in words is "ten billion, one hundred thirty-one thousand, three hundred twenty-nine".