1313280 has 160 divisors (see below), whose sum is σ = 4910400. Its totient is φ = 331776.

The previous prime is 1313239. The next prime is 1313293. The reversal of 1313280 is 823131.

1313280 = T₉ + T₁₀ + ... + T₁₉₈.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a zygodrome in base 4.

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, 69111 + ... + 69129.

It is an arithmetic number, because the mean of its divisors is an integer number (30690).

2^1313280 is an apocalyptic number.

1313280 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 1313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455200).

1313280 is an abundant number, since it is smaller than the sum of its proper divisors (3597120).

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

1313280 is an equidigital number, since it uses as much as digits as its factorization.

1313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1313280 is about 1145.9842930861. The cubic root of 1313280 is about 109.5096632493.

The spelling of 1313280 in words is "one million, three hundred thirteen thousand, two hundred eighty".