10040013 has 24 divisors (see below), whose sum is σ = 15477696. Its totient is φ = 6249600.

The previous prime is 10040011. The next prime is 10040057. The reversal of 10040013 is 31004001.

10040013 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10040013 - 2¹ = 10040011 is a prime.

It is a super-2 number, since 2×10040013² = 201603722080338, which contains 22 as substring.

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 = 10039977 and 10040004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32128 + ... + 32438.

It is an arithmetic number, because the mean of its divisors is an integer number (644904).

Almost surely, 2^10040013 is an apocalyptic number.

It is an amenable number.

10040013 is a deficient number, since it is larger than the sum of its proper divisors (5437683).

10040013 is a wasteful number, since it uses less digits than its factorization.

10040013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 542 counting only the distinct ones).

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

The square root of 10040013 is about 3168.5979549321. The cubic root of 10040013 is about 215.7304379108.

Adding to 10040013 its reverse (31004001), we get a palindrome (41044014).

It can be divided in two parts, 1004001 and 3, that added together give a square (1004004 = 1002²).

The spelling of 10040013 in words is "ten million, forty thousand, thirteen".