10310320013112 has 384 divisors, whose sum is σ = 34628179622400. Its totient is φ = 2703814041600.

The previous prime is 10310320013107. The next prime is 10310320013131. The reversal of 10310320013112 is 21131002301301.

10310320013112 is a `hidden beast` number, since 1 + 0 + 31 + 0 + 320 + 0 + 1 + 311 + 2 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 1254445339 + ... + 1254453557.

It is an arithmetic number, because the mean of its divisors is an integer number (90177551100).

Almost surely, 2^{10310320013112} is an apocalyptic number.

10310320013112 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 10310320013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314089811200).

10310320013112 is an abundant number, since it is smaller than the sum of its proper divisors (24317859609288).

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

10310320013112 is a wasteful number, since it uses less digits than its factorization.

10310320013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11867 (or 11860 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10310320013112 its reverse (21131002301301), we get a palindrome (31441322314413).

The spelling of 10310320013112 in words is "ten trillion, three hundred ten billion, three hundred twenty million, thirteen thousand, one hundred twelve".