100131010 has 48 divisors (see below), whose sum is σ = 211007160. Its totient is φ = 34110720.

The previous prime is 100131001. The next prime is 100131011. The reversal of 100131010 is 10131001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24910081 + 75220929 = 4991^2 + 8673^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100130984 and 100131002.

It is not an unprimeable number, because it can be changed into a prime (100131011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88126 + ... + 89254.

Almost surely, 2^100131010 is an apocalyptic number.

100131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100131010 is an abundant number, since it is smaller than the sum of its proper divisors (110876150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100131010 is a wasteful number, since it uses less digits than its factorization.

100131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 100131010 is about 10006.5483559517. The cubic root of 100131010 is about 464.3614930917.

Adding to 100131010 its reverse (10131001), we get a palindrome (110262011).

Subtracting from 100131010 its reverse (10131001), we obtain a palindrome (90000009).

The spelling of 100131010 in words is "one hundred million, one hundred thirty-one thousand, ten".