10013731 has 16 divisors (see below), whose sum is σ = 13051584. Its totient is φ = 7455744.

The previous prime is 10013723. The next prime is 10013747. The reversal of 10013731 is 13731001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10013731 - 2³ = 10013723 is a prime.

It is a super-2 number, since 2×10013731² = 200549617080722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10013761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1690 + ... + 4783.

It is an arithmetic number, because the mean of its divisors is an integer number (815724).

Almost surely, 2^10013731 is an apocalyptic number.

10013731 is a deficient number, since it is larger than the sum of its proper divisors (3037853).

10013731 is a wasteful number, since it uses less digits than its factorization.

10013731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510.

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 10013731 is about 3164.4479771360. The cubic root of 10013731 is about 215.5420323802.

Adding to 10013731 its reverse (13731001), we get a palindrome (23744732).

It can be divided in two parts, 100 and 13731, that added together give a palindrome (13831).

The spelling of 10013731 in words is "ten million, thirteen thousand, seven hundred thirty-one".