10100200131312 has 80 divisors (see below), whose sum is σ = 27332567389440. Its totient is φ = 3207823015936.

The previous prime is 10100200131257. The next prime is 10100200131317. The reversal of 10100200131312 is 21313100200101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10100200131291 and 10100200131300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100200131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17515362 + ... + 18082817.

It is an arithmetic number, because the mean of its divisors is an integer number (341657092368).

Almost surely, 2^{10100200131312} is an apocalyptic number.

10100200131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100200131312 is an abundant number, since it is smaller than the sum of its proper divisors (17232367258128).

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

10100200131312 is a wasteful number, since it uses less digits than its factorization.

10100200131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35598470 (or 35598464 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10100200131312 its reverse (21313100200101), we get a palindrome (31413300331413).

The spelling of 10100200131312 in words is "ten trillion, one hundred billion, two hundred million, one hundred thirty-one thousand, three hundred twelve".