100131303312 has 30 divisors (see below), whose sum is σ = 280228578422. Its totient is φ = 33377101056.

The previous prime is 100131303287. The next prime is 100131303319. The reversal of 100131303312 is 213303131001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99512487936 + 618815376 = 315456^2 + 24876^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100131303319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347677993 + ... + 347678280.

Almost surely, 2^100131303312 is an apocalyptic number.

100131303312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100131303312 is an abundant number, since it is smaller than the sum of its proper divisors (180097275110).

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

100131303312 is a wasteful number, since it uses less digits than its factorization.

100131303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695356287 (or 695356278 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100131303312 its reverse (213303131001), we get a palindrome (313434434313).

The spelling of 100131303312 in words is "one hundred billion, one hundred thirty-one million, three hundred three thousand, three hundred twelve".