1306913188 has 48 divisors (see below), whose sum is σ = 2742163200. Its totient is φ = 533151360.

The previous prime is 1306913183. The next prime is 1306913207. The reversal of 1306913188 is 8813196031.

It is a self number, because there is not a number n which added to its sum of digits gives 1306913188.

It is not an unprimeable number, because it can be changed into a prime (1306913183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46318 + ... + 68986.

It is an arithmetic number, because the mean of its divisors is an integer number (57128400).

Almost surely, 2^1306913188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306913188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371081600).

1306913188 is an abundant number, since it is smaller than the sum of its proper divisors (1435250012).

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

1306913188 is a wasteful number, since it uses less digits than its factorization.

1306913188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22780 (or 22778 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 1306913188 is about 36151.2543074234. The cubic root of 1306913188 is about 1093.3240802889.

The spelling of 1306913188 in words is "one billion, three hundred six million, nine hundred thirteen thousand, one hundred eighty-eight".