100131082003 has 2 divisors, whose sum is σ = 100131082004. Its totient is φ = 100131082002.

The previous prime is 100131081977. The next prime is 100131082021. The reversal of 100131082003 is 300280131001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100131082003 - 2⁵ = 100131081971 is a prime.

It is not a weakly prime, because it can be changed into another prime (100131082063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065541001 + 50065541002.

It is an arithmetic number, because the mean of its divisors is an integer number (50065541002).

Almost surely, 2^100131082003 is an apocalyptic number.

100131082003 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131082003 is an equidigital number, since it uses as much as digits as its factorization.

100131082003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 100131082003 in words is "one hundred billion, one hundred thirty-one million, eighty-two thousand, three".