1310831280 has 480 divisors, whose sum is σ = 5236807680. Its totient is φ = 290304000.

The previous prime is 1310831267. The next prime is 1310831293. The reversal of 1310831280 is 821380131.

It is an interprime number because it is at equal distance from previous prime (1310831267) and next prime (1310831293).

It is an unprimeable number.

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, 4664740 + ... + 4665020.

It is an arithmetic number, because the mean of its divisors is an integer number (10910016).

Almost surely, 2^1310831280 is an apocalyptic number.

1310831280 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 1310831280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618403840).

1310831280 is an abundant number, since it is smaller than the sum of its proper divisors (3925976400).

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

1310831280 is a wasteful number, since it uses less digits than its factorization.

1310831280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1310831280 is about 36205.4040165277. The cubic root of 1310831280 is about 1094.4155760454.

The spelling of 1310831280 in words is "one billion, three hundred ten million, eight hundred thirty-one thousand, two hundred eighty".