100131330 has 64 divisors (see below), whose sum is σ = 272442240. Its totient is φ = 23348736.

The previous prime is 100131313. The next prime is 100131331. The reversal of 100131330 is 33131001.

It is not an unprimeable number, because it can be changed into a prime (100131331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654 + ... + 14166.

It is an arithmetic number, because the mean of its divisors is an integer number (4256910).

Almost surely, 2^100131330 is an apocalyptic number.

100131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136221120).

100131330 is an abundant number, since it is smaller than the sum of its proper divisors (172310910).

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

100131330 is a wasteful number, since it uses less digits than its factorization.

100131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13555.

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

The square root of 100131330 is about 10006.5643454684. The cubic root of 100131330 is about 464.3619877620.

Adding to 100131330 its reverse (33131001), we get a palindrome (133262331).

The spelling of 100131330 in words is "one hundred million, one hundred thirty-one thousand, three hundred thirty".