100031003119 has 2 divisors, whose sum is σ = 100031003120. Its totient is φ = 100031003118.

The previous prime is 100031003041. The next prime is 100031003153. The reversal of 100031003119 is 911300130001.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (911300130001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100031003119 - 2²¹ = 100028905967 is a prime.

It is a super-2 number, since 2×100031003119² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100031003096 and 100031003105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001003119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50015501559 + 50015501560.

It is an arithmetic number, because the mean of its divisors is an integer number (50015501560).

Almost surely, 2^100031003119 is an apocalyptic number.

100031003119 is a deficient number, since it is larger than the sum of its proper divisors (1).

100031003119 is an equidigital number, since it uses as much as digits as its factorization.

100031003119 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 100031003119 in words is "one hundred billion, thirty-one million, three thousand, one hundred nineteen".