1000013040 has 280 divisors, whose sum is σ = 3756947040. Its totient is φ = 245970432.

The previous prime is 1000013039. The next prime is 1000013081. The reversal of 1000013040 is 403100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 757501 + ... + 758819.

It is an arithmetic number, because the mean of its divisors is an integer number (13417668).

Almost surely, 2^1000013040 is an apocalyptic number.

1000013040 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 1000013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878473520).

1000013040 is an abundant number, since it is smaller than the sum of its proper divisors (2756934000).

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

1000013040 is a wasteful number, since it uses less digits than its factorization.

1000013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000013040 is about 31622.9827815151. The cubic root of 1000013040 is about 1000.0043466478.

Adding to 1000013040 its reverse (403100001), we get a palindrome (1403113041).

It can be divided in two parts, 100001 and 3040, that added together give a square (103041 = 321²).

The spelling of 1000013040 in words is "one billion, thirteen thousand, forty".