1310102112 has 96 divisors (see below), whose sum is σ = 3785201280. Its totient is φ = 393451520.

The previous prime is 1310102051. The next prime is 1310102197. The reversal of 1310102112 is 2112010131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113839 + ... + 124817.

It is an arithmetic number, because the mean of its divisors is an integer number (39429180).

Almost surely, 2^1310102112 is an apocalyptic number.

1310102112 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 1310102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892600640).

1310102112 is an abundant number, since it is smaller than the sum of its proper divisors (2475099168).

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

1310102112 is a wasteful number, since it uses less digits than its factorization.

1310102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11116 (or 11108 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1310102112 is about 36195.3327377992. The cubic root of 1310102112 is about 1094.2126104811.

Adding to 1310102112 its reverse (2112010131), we get a palindrome (3422112243).

The spelling of 1310102112 in words is "one billion, three hundred ten million, one hundred two thousand, one hundred twelve".