1309318920 has 384 divisors, whose sum is σ = 5547709440. Its totient is φ = 259891200.

The previous prime is 1309318867. The next prime is 1309318921. The reversal of 1309318920 is 298139031.

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

It is not an unprimeable number, because it can be changed into a prime (1309318921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 555745 + ... + 558095.

It is an arithmetic number, because the mean of its divisors is an integer number (14447160).

Almost surely, 2^1309318920 is an apocalyptic number.

1309318920 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 1309318920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773854720).

1309318920 is an abundant number, since it is smaller than the sum of its proper divisors (4238390520).

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

1309318920 is a wasteful number, since it uses less digits than its factorization.

1309318920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1309318920 is about 36184.5121564462. The cubic root of 1309318920 is about 1093.9945233102.

The spelling of 1309318920 in words is "one billion, three hundred nine million, three hundred eighteen thousand, nine hundred twenty".