100131083 has 16 divisors (see below), whose sum is σ = 115449600. Its totient is φ = 86067360.

The previous prime is 100131077. The next prime is 100131089. The reversal of 100131083 is 380131001.

It is an interprime number because it is at equal distance from previous prime (100131077) and next prime (100131089).

It is a cyclic number.

It is not a de Polignac number, because 100131083 - 2⁴ = 100131067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100131089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11138 + ... + 18008.

It is an arithmetic number, because the mean of its divisors is an integer number (7215600).

Almost surely, 2^100131083 is an apocalyptic number.

100131083 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100131083 is a deficient number, since it is larger than the sum of its proper divisors (15318517).

100131083 is a wasteful number, since it uses less digits than its factorization.

100131083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6962.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 100131083 is about 10006.5520035625. The cubic root of 100131083 is about 464.3616059385.

Adding to 100131083 its reverse (380131001), we get a palindrome (480262084).

The spelling of 100131083 in words is "one hundred million, one hundred thirty-one thousand, eighty-three".