1306131696 has 160 divisors (see below), whose sum is σ = 3911803200. Its totient is φ = 416747520.

The previous prime is 1306131689. The next prime is 1306131703. The reversal of 1306131696 is 6961316031.

1306131696 is a `hidden beast` number, since 1 + 30 + 613 + 1 + 6 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1306131689) and next prime (1306131703).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1306131696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1715956 + ... + 1716716.

It is an arithmetic number, because the mean of its divisors is an integer number (24448770).

Almost surely, 2^1306131696 is an apocalyptic number.

1306131696 is a gapful number since it is divisible by the number (16) 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 1306131696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955901600).

1306131696 is an abundant number, since it is smaller than the sum of its proper divisors (2605671504).

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

1306131696 is a wasteful number, since it uses less digits than its factorization.

1306131696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1306131696 is about 36140.4440481851. Note that the first 3 decimals coincide. The cubic root of 1306131696 is about 1093.1061126400.

The spelling of 1306131696 in words is "one billion, three hundred six million, one hundred thirty-one thousand, six hundred ninety-six".