10003321100413 has 2 divisors, whose sum is σ = 10003321100414. Its totient is φ = 10003321100412.

The previous prime is 10003321100411. The next prime is 10003321100431. The reversal of 10003321100413 is 31400112330001.

Together with next prime (10003321100431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7605118876644 + 2398202223769 = 2757738^2 + 1548613^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003321100413 - 2¹ = 10003321100411 is a prime.

Together with 10003321100411, it forms a pair of twin primes.

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 polite number, since it can be written as a sum of consecutive naturals, namely, 5001660550206 + 5001660550207.

It is an arithmetic number, because the mean of its divisors is an integer number (5001660550207).

Almost surely, 2^{10003321100413} is an apocalyptic number.

It is an amenable number.

10003321100413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003321100413 is an equidigital number, since it uses as much as digits as its factorization.

10003321100413 is an evil number, because the sum of its binary digits is even.

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

Adding to 10003321100413 its reverse (31400112330001), we get a palindrome (41403433430414).

The spelling of 10003321100413 in words is "ten trillion, three billion, three hundred twenty-one million, one hundred thousand, four hundred thirteen".