1310141102112 has 144 divisors (see below), whose sum is σ = 4027799280960. Its totient is φ = 402546848256.

The previous prime is 1310141102077. The next prime is 1310141102113. The reversal of 1310141102112 is 2112011410131.

1310141102112 is a `hidden beast` number, since 1 + 310 + 141 + 1 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1310141102113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3033028 + ... + 3437955.

It is an arithmetic number, because the mean of its divisors is an integer number (27970828340).

Almost surely, 2^{1310141102112} is an apocalyptic number.

1310141102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1310141102112 is an abundant number, since it is smaller than the sum of its proper divisors (2717658178848).

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

1310141102112 is a wasteful number, since it uses less digits than its factorization.

1310141102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471055 (or 6471044 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1310141102112 its reverse (2112011410131), we get a palindrome (3422152512243).

The spelling of 1310141102112 in words is "one trillion, three hundred ten billion, one hundred forty-one million, one hundred two thousand, one hundred twelve".