1000040013 has 28 divisors (see below), whose sum is σ = 1713579168. Its totient is φ = 571448520.

The previous prime is 1000039969. The next prime is 1000040017. The reversal of 1000040013 is 3100400001.

It is not a de Polignac number, because 1000040013 - 2¹⁶ = 999974477 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000039977 and 1000040004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000040017) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 92883 + ... + 103088.

It is an arithmetic number, because the mean of its divisors is an integer number (61199256).

Almost surely, 2^1000040013 is an apocalyptic number.

It is an amenable number.

1000040013 is a deficient number, since it is larger than the sum of its proper divisors (713539155).

1000040013 is an frugal number, since it uses more digits than its factorization.

1000040013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195996 (or 195981 counting only the distinct ones).

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

The square root of 1000040013 is about 31623.4092564353. The cubic root of 1000040013 is about 1000.0133374888.

Adding to 1000040013 its reverse (3100400001), we get a palindrome (4100440014).

The spelling of 1000040013 in words is "one billion, forty thousand, thirteen".