100203131 has 16 divisors (see below), whose sum is σ = 120936960. Its totient is φ = 81328968.

The previous prime is 100203119. The next prime is 100203143. The reversal of 100203131 is 131302001.

It is an interprime number because it is at equal distance from previous prime (100203119) and next prime (100203143).

It is not a de Polignac number, because 100203131 - 2¹⁴ = 100186747 is a prime.

It is a super-2 number, since 2×100203131² = 20081334924406322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100203031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46970 + ... + 49056.

It is an arithmetic number, because the mean of its divisors is an integer number (7558560).

Almost surely, 2^100203131 is an apocalyptic number.

100203131 is a deficient number, since it is larger than the sum of its proper divisors (20733829).

100203131 is an frugal number, since it uses more digits than its factorization.

100203131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 100203131 is about 10010.1513974565. The cubic root of 100203131 is about 464.4729543258.

Adding to 100203131 its reverse (131302001), we get a palindrome (231505132).

The spelling of 100203131 in words is "one hundred million, two hundred three thousand, one hundred thirty-one".