10003321100431 has 2 divisors, whose sum is σ = 10003321100432. Its totient is φ = 10003321100430.

The previous prime is 10003321100413. The next prime is 10003321100471. The reversal of 10003321100431 is 13400112330001.

Together with previous prime (10003321100413) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10003321100431 is a prime.

It is a super-2 number, since 2×10003321100431² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10003321100399 and 10003321100408.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003321100411) 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, 5001660550215 + 5001660550216.

It is an arithmetic number, because the mean of its divisors is an integer number (5001660550216).

Almost surely, 2^{10003321100431} is an apocalyptic number.

10003321100431 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003321100431 is an equidigital number, since it uses as much as digits as its factorization.

10003321100431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10003321100431 its reverse (13400112330001), we get a palindrome (23403433430432).

The spelling of 10003321100431 in words is "ten trillion, three billion, three hundred twenty-one million, one hundred thousand, four hundred thirty-one".