1001313040 has 200 divisors, whose sum is σ = 2932109208. Its totient is φ = 316108800.

The previous prime is 1001313037. The next prime is 1001313059. The reversal of 1001313040 is 403131001.

It can be written as a sum of positive squares in 4 ways, for example, as 204718864 + 796594176 = 14308^2 + 28224^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1001313040.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2496840 + ... + 2497240.

Almost surely, 2^1001313040 is an apocalyptic number.

1001313040 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 1001313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466054604).

1001313040 is an abundant number, since it is smaller than the sum of its proper divisors (1930796168).

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

1001313040 is an equidigital number, since it uses as much as digits as its factorization.

1001313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1001313040 is about 31643.5307764478. The cubic root of 1001313040 is about 1000.4374885758.

Adding to 1001313040 its reverse (403131001), we get a palindrome (1404444041).

The spelling of 1001313040 in words is "one billion, one million, three hundred thirteen thousand, forty".