10131300312 has 128 divisors (see below), whose sum is σ = 29229250560. Its totient is φ = 2866544640.

The previous prime is 10131300269. The next prime is 10131300359. The reversal of 10131300312 is 21300313101.

It is a junction number, because it is equal to n+sod(n) for n = 10131300291 and 10131300300.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8786328 + ... + 8787480.

It is an arithmetic number, because the mean of its divisors is an integer number (228353520).

Almost surely, 2^10131300312 is an apocalyptic number.

10131300312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614625280).

10131300312 is an abundant number, since it is smaller than the sum of its proper divisors (19097950248).

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

10131300312 is a wasteful number, since it uses less digits than its factorization.

10131300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10131300312 its reverse (21300313101), we get a palindrome (31431613413).

The spelling of 10131300312 in words is "ten billion, one hundred thirty-one million, three hundred thousand, three hundred twelve".