1040130013 has 4 divisors (see below), whose sum is σ = 1120140028. Its totient is φ = 960120000.

The previous prime is 1040130001. The next prime is 1040130029. The reversal of 1040130013 is 3100310401.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 44916804 + 995213209 = 6702^2 + 31547^2 .

It is a cyclic number.

It is not a de Polignac number, because 1040130013 - 2⁹ = 1040129501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 80010001 = 1040130013 / (1 + 0 + 4 + 0 + 1 + 3 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1040129975 and 1040130002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040133013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40004988 + ... + 40005013.

It is an arithmetic number, because the mean of its divisors is an integer number (280035007).

Almost surely, 2^1040130013 is an apocalyptic number.

1040130013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1040130013 is a deficient number, since it is larger than the sum of its proper divisors (80010015).

1040130013 is an equidigital number, since it uses as much as digits as its factorization.

1040130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80010014.

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

The square root of 1040130013 is about 32251.0466961927. The cubic root of 1040130013 is about 1013.2016212576.

Adding to 1040130013 its reverse (3100310401), we get a palindrome (4140440414).

The spelling of 1040130013 in words is "one billion, forty million, one hundred thirty thousand, thirteen".