1310113301112 has 512 divisors, whose sum is σ = 4699441152000. Its totient is φ = 328149480960.

The previous prime is 1310113301087. The next prime is 1310113301153. The reversal of 1310113301112 is 2111033110131.

1310113301112 is a `hidden beast` number, since 1 + 310 + 1 + 1 + 330 + 11 + 12 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 659341383 + ... + 659343369.

It is an arithmetic number, because the mean of its divisors is an integer number (9178596000).

Almost surely, 2^{1310113301112} is an apocalyptic number.

1310113301112 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 1310113301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349720576000).

1310113301112 is an abundant number, since it is smaller than the sum of its proper divisors (3389327850888).

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

1310113301112 is a wasteful number, since it uses less digits than its factorization.

1310113301112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1310113301112 its reverse (2111033110131), we get a palindrome (3421146411243).

The spelling of 1310113301112 in words is "one trillion, three hundred ten billion, one hundred thirteen million, three hundred one thousand, one hundred twelve".