10003129657561 has 2 divisors, whose sum is σ = 10003129657562. Its totient is φ = 10003129657560.

The previous prime is 10003129657439. The next prime is 10003129657579. The reversal of 10003129657561 is 16575692130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10003025515536 + 104142025 = 3162756^2 + 10205^2 .

It is an emirp because it is prime and its reverse (16575692130001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10003129657561 - 2¹³ = 10003129649369 is a prime.

It is not a weakly prime, because it can be changed into another prime (10003129657361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001564828780 + 5001564828781.

It is an arithmetic number, because the mean of its divisors is an integer number (5001564828781).

Almost surely, 2^{10003129657561} is an apocalyptic number.

It is an amenable number.

10003129657561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003129657561 is an equidigital number, since it uses as much as digits as its factorization.

10003129657561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 340200, while the sum is 46.

The spelling of 10003129657561 in words is "ten trillion, three billion, one hundred twenty-nine million, six hundred fifty-seven thousand, five hundred sixty-one".