1313040000 has 160 divisors (see below), whose sum is σ = 4359104640. Its totient is φ = 350080000.

The previous prime is 1313039969. The next prime is 1313040007. The reversal of 1313040000 is 403131.

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 (12).

It is not an unprimeable number, because it can be changed into a prime (1313040007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 237265 + ... + 242735.

It is an arithmetic number, because the mean of its divisors is an integer number (27244404).

Almost surely, 2^1313040000 is an apocalyptic number.

1313040000 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 1313040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179552320).

1313040000 is an abundant number, since it is smaller than the sum of its proper divisors (3046064640).

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

1313040000 is an frugal number, since it uses more digits than its factorization.

1313040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5481 counting only the distinct ones).

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

The square root of 1313040000 is about 36235.8938071079. The cubic root of 1313040000 is about 1095.0299193259.

Adding to 1313040000 its reverse (403131), we get a palindrome (1313443131).

The spelling of 1313040000 in words is "one billion, three hundred thirteen million, forty thousand".