40130013 has 48 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 19599360.

The previous prime is 40130003. The next prime is 40130017. The reversal of 40130013 is 31003104.

It is not a de Polignac number, because 40130013 - 2¹⁰ = 40128989 is a prime.

It is a super-2 number, since 2×40130013² = 3220835886760338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42733 + ... + 43661.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^40130013 is an apocalyptic number.

It is an amenable number.

40130013 is a deficient number, since it is larger than the sum of its proper divisors (31115427).

40130013 is a wasteful number, since it uses less digits than its factorization.

40130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 967 counting only the distinct ones).

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

The square root of 40130013 is about 6334.8254119589. The cubic root of 40130013 is about 342.3653204470.

Adding to 40130013 its reverse (31003104), we get a palindrome (71133117).

The spelling of 40130013 in words is "forty million, one hundred thirty thousand, thirteen".