10100103319 has 2 divisors, whose sum is σ = 10100103320. Its totient is φ = 10100103318.

The previous prime is 10100103317. The next prime is 10100103329. The reversal of 10100103319 is 91330100101.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (91330100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100103319 - 2¹ = 10100103317 is a prime.

It is a super-2 number, since 2×10100103319² (a number of 21 digits) contains 22 as substring.

Together with 10100103317, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10100103296 and 10100103305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100103317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050051659 + 5050051660.

It is an arithmetic number, because the mean of its divisors is an integer number (5050051660).

Almost surely, 2^10100103319 is an apocalyptic number.

10100103319 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100103319 is an equidigital number, since it uses as much as digits as its factorization.

10100103319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

The spelling of 10100103319 in words is "ten billion, one hundred million, one hundred three thousand, three hundred nineteen".