100003003131 has 8 divisors (see below), whose sum is σ = 133622858304. Its totient is φ = 66525908360.

The previous prime is 100003003103. The next prime is 100003003159. The reversal of 100003003131 is 131300300001.

It is an interprime number because it is at equal distance from previous prime (100003003103) and next prime (100003003159).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100003003131 - 2⁵ = 100003003099 is a prime.

It is a super-2 number, since 2×100003003131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100003003531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35688465 + ... + 35691266.

It is an arithmetic number, because the mean of its divisors is an integer number (16702857288).

Almost surely, 2^100003003131 is an apocalyptic number.

100003003131 is a deficient number, since it is larger than the sum of its proper divisors (33619855173).

100003003131 is an equidigital number, since it uses as much as digits as its factorization.

100003003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71380201.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 100003003131 its reverse (131300300001), we get a palindrome (231303303132).

The spelling of 100003003131 in words is "one hundred billion, three million, three thousand, one hundred thirty-one".