1306101200 has 60 divisors (see below), whose sum is σ = 3145572108. Its totient is φ = 521164800.

The previous prime is 1306101193. The next prime is 1306101229. The reversal of 1306101200 is 21016031.

It can be written as a sum of positive squares in 6 ways, for example, as 397922704 + 908178496 = 19948^2 + 30136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169430 + ... + 176970.

Almost surely, 2^1306101200 is an apocalyptic number.

1306101200 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 1306101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572786054).

1306101200 is an abundant number, since it is smaller than the sum of its proper divisors (1839470908).

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

1306101200 is a wasteful number, since it uses less digits than its factorization.

1306101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1306101200 is about 36140.0221361305. The cubic root of 1306101200 is about 1093.0976051713.

Adding to 1306101200 its reverse (21016031), we get a palindrome (1327117231).

The spelling of 1306101200 in words is "one billion, three hundred six million, one hundred one thousand, two hundred".