1313000040 has 192 divisors, whose sum is σ = 4470842880. Its totient is φ = 307929600.

The previous prime is 1313000033. The next prime is 1313000047. The reversal of 1313000040 is 400003131.

1313000040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1313000033) and next prime (1313000047).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1313000047) 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 47 ways as a sum of consecutive naturals, for example, 448662 + ... + 451578.

It is an arithmetic number, because the mean of its divisors is an integer number (23285640).

Almost surely, 2^1313000040 is an apocalyptic number.

1313000040 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 1313000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235421440).

1313000040 is an abundant number, since it is smaller than the sum of its proper divisors (3157842840).

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

1313000040 is a wasteful number, since it uses less digits than its factorization.

1313000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1313000040 is about 36235.3424159342. The cubic root of 1313000040 is about 1095.0188107942.

Adding to 1313000040 its reverse (400003131), we get a palindrome (1713003171).

The spelling of 1313000040 in words is "one billion, three hundred thirteen million, forty", and thus it is an aban number.