1310522112 has 288 divisors, whose sum is σ = 4326739200. Its totient is φ = 388841472.

The previous prime is 1310522111. The next prime is 1310522113. The reversal of 1310522112 is 2112250131.

1310522112 is a `hidden beast` number, since 1 + 31 + 0 + 522 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (1310522111) and next prime (1310522113).

It is a tau number, because it is divible by the number of its divisors (288).

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 (1310522111) 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, 2232283 + ... + 2232869.

It is an arithmetic number, because the mean of its divisors is an integer number (15023400).

Almost surely, 2^1310522112 is an apocalyptic number.

1310522112 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 1310522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163369600).

1310522112 is an abundant number, since it is smaller than the sum of its proper divisors (3016217088).

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

1310522112 is a wasteful number, since it uses less digits than its factorization.

1310522112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1310522112 is about 36201.1341258806. The cubic root of 1310522112 is about 1094.3295276259.

Adding to 1310522112 its reverse (2112250131), we get a palindrome (3422772243).

The spelling of 1310522112 in words is "one billion, three hundred ten million, five hundred twenty-two thousand, one hundred twelve".