1313303040 has 480 divisors, whose sum is σ = 5515361280. Its totient is φ = 281935872.

The previous prime is 1313303039. The next prime is 1313303053. The reversal of 1313303040 is 403033131.

1313303040 is a `hidden beast` number, since 1 + 31 + 330 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741521 + ... + 2741999.

It is an arithmetic number, because the mean of its divisors is an integer number (11490336).

Almost surely, 2^1313303040 is an apocalyptic number.

1313303040 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 1313303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757680640).

1313303040 is an abundant number, since it is smaller than the sum of its proper divisors (4202058240).

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

1313303040 is a wasteful number, since it uses less digits than its factorization.

1313303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1313303040 is about 36239.5231756711. The cubic root of 1313303040 is about 1095.1030365293.

Adding to 1313303040 its reverse (403033131), we get a palindrome (1716336171).

The spelling of 1313303040 in words is "one billion, three hundred thirteen million, three hundred three thousand, forty".