1309393120 has 96 divisors (see below), whose sum is σ = 3543535296. Its totient is φ = 447897600.

The previous prime is 1309393109. The next prime is 1309393171. The reversal of 1309393120 is 213939031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604840 + ... + 607000.

It is an arithmetic number, because the mean of its divisors is an integer number (36911826).

Almost surely, 2^1309393120 is an apocalyptic number.

1309393120 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 1309393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771767648).

1309393120 is an abundant number, since it is smaller than the sum of its proper divisors (2234142176).

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

1309393120 is a wasteful number, since it uses less digits than its factorization.

1309393120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 31.

The square root of 1309393120 is about 36185.5374424645. The cubic root of 1309393120 is about 1094.0151887262.

The spelling of 1309393120 in words is "one billion, three hundred nine million, three hundred ninety-three thousand, one hundred twenty".