100131310 has 16 divisors (see below), whose sum is σ = 183638016. Its totient is φ = 39296608.

The previous prime is 100131281. The next prime is 100131313. The reversal of 100131310 is 13131001.

It is a super-2 number, since 2×100131310² = 20052558484632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131313) 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 7 ways as a sum of consecutive naturals, for example, 93934 + ... + 94993.

It is an arithmetic number, because the mean of its divisors is an integer number (11477376).

Almost surely, 2^100131310 is an apocalyptic number.

100131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100131310 is a deficient number, since it is larger than the sum of its proper divisors (83506706).

100131310 is a wasteful number, since it uses less digits than its factorization.

100131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188987.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 100131310 is about 10006.5633461244. The cubic root of 100131310 is about 464.3619568452.

Adding to 100131310 its reverse (13131001), we get a palindrome (113262311).

The spelling of 100131310 in words is "one hundred million, one hundred thirty-one thousand, three hundred ten".