1310152320 has 320 divisors, whose sum is σ = 4739328000. Its totient is φ = 344881152.

The previous prime is 1310152313. The next prime is 1310152321. The reversal of 1310152320 is 232510131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310152293 and 1310152302.

It is not an unprimeable number, because it can be changed into a prime (1310152321) 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 39 ways as a sum of consecutive naturals, for example, 6583581 + ... + 6583779.

It is an arithmetic number, because the mean of its divisors is an integer number (14810400).

Almost surely, 2^1310152320 is an apocalyptic number.

1310152320 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 1310152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369664000).

1310152320 is an abundant number, since it is smaller than the sum of its proper divisors (3429175680).

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

1310152320 is a wasteful number, since it uses less digits than its factorization.

1310152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1310152320 is about 36196.0263012392. The cubic root of 1310152320 is about 1094.2265884056.

Adding to 1310152320 its reverse (232510131), we get a palindrome (1542662451).

The spelling of 1310152320 in words is "one billion, three hundred ten million, one hundred fifty-two thousand, three hundred twenty".