1310113728 has 336 divisors, whose sum is σ = 4742200320. Its totient is φ = 335923200.

The previous prime is 1310113681. The next prime is 1310113729. The reversal of 1310113728 is 8273110131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310113729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4834233 + ... + 4834503.

Almost surely, 2^1310113728 is an apocalyptic number.

1310113728 is a gapful number since it is divisible by the number (18) 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 1310113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371100160).

1310113728 is an abundant number, since it is smaller than the sum of its proper divisors (3432086592).

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

1310113728 is a wasteful number, since it uses less digits than its factorization.

1310113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1310113728 is about 36195.4932001209. The cubic root of 1310113728 is about 1094.2158444113.

Adding to 1310113728 its reverse (8273110131), we get a palindrome (9583223859).

The spelling of 1310113728 in words is "one billion, three hundred ten million, one hundred thirteen thousand, seven hundred twenty-eight".