1306413306 has 64 divisors (see below), whose sum is σ = 3185619840. Its totient is φ = 393563520.

The previous prime is 1306413281. The next prime is 1306413307. The reversal of 1306413306 is 6033146031.

1306413306 is a `hidden beast` number, since 13 + 0 + 641 + 3 + 3 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1306413306.

It is not an unprimeable number, because it can be changed into a prime (1306413307) 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, 96406 + ... + 109118.

It is an arithmetic number, because the mean of its divisors is an integer number (49775310).

Almost surely, 2^1306413306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306413306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592809920).

1306413306 is an abundant number, since it is smaller than the sum of its proper divisors (1879206534).

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

1306413306 is a wasteful number, since it uses less digits than its factorization.

1306413306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12908 (or 12902 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1306413306 is about 36144.3398888401. The cubic root of 1306413306 is about 1093.1846671208.

Adding to 1306413306 its reverse (6033146031), we get a palindrome (7339559337).

The spelling of 1306413306 in words is "one billion, three hundred six million, four hundred thirteen thousand, three hundred six".