1313069688 has 192 divisors, whose sum is σ = 4176619200. Its totient is φ = 364953600.

The previous prime is 1313069683. The next prime is 1313069707. The reversal of 1313069688 is 8869603131.

It is a happy number.

1313069688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313069683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3274288 + ... + 3274688.

It is an arithmetic number, because the mean of its divisors is an integer number (21753225).

Almost surely, 2^1313069688 is an apocalyptic number.

1313069688 is a gapful number since it is divisible by the number (18) 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 1313069688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088309600).

1313069688 is an abundant number, since it is smaller than the sum of its proper divisors (2863549512).

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

1313069688 is a wasteful number, since it uses less digits than its factorization.

1313069688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1313069688 is about 36236.3034538569. The cubic root of 1313069688 is about 1095.0381721853.

The spelling of 1313069688 in words is "one billion, three hundred thirteen million, sixty-nine thousand, six hundred eighty-eight".