1310300003112 has 128 divisors (see below), whose sum is σ = 3400941772800. Its totient is φ = 420185380608.

The previous prime is 1310300003081. The next prime is 1310300003113. The reversal of 1310300003112 is 2113000030131.

It is a junction number, because it is equal to n+sod(n) for n = 1310300003091 and 1310300003100.

It is not an unprimeable number, because it can be changed into a prime (1310300003113) 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, 572932833 + ... + 572935119.

It is an arithmetic number, because the mean of its divisors is an integer number (26569857600).

Almost surely, 2^{1310300003112} is an apocalyptic number.

1310300003112 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 1310300003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700470886400).

1310300003112 is an abundant number, since it is smaller than the sum of its proper divisors (2090641769688).

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

1310300003112 is a wasteful number, since it uses less digits than its factorization.

1310300003112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935 (or 4931 counting only the distinct ones).

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

Adding to 1310300003112 its reverse (2113000030131), we get a palindrome (3423300033243).

The spelling of 1310300003112 in words is "one trillion, three hundred ten billion, three hundred million, three thousand, one hundred twelve".