1306312000 has 112 divisors (see below), whose sum is σ = 3697394688. Its totient is φ = 447859200.

The previous prime is 1306311949. The next prime is 1306312001. The reversal of 1306312000 is 2136031.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306312001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44337 + ... + 67663.

Almost surely, 2^1306312000 is an apocalyptic number.

1306312000 is a gapful number since it is divisible by the number (10) 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 1306312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848697344).

1306312000 is an abundant number, since it is smaller than the sum of its proper divisors (2391082688).

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

1306312000 is an equidigital number, since it uses as much as digits as its factorization.

1306312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23361 (or 23341 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1306312000 is about 36142.9384527600. The cubic root of 1306312000 is about 1093.1564093384.

Adding to 1306312000 its reverse (2136031), we get a palindrome (1308448031).

The spelling of 1306312000 in words is "one billion, three hundred six million, three hundred twelve thousand".