31000013 has 8 divisors (see below), whose sum is σ = 34147776. Its totient is φ = 27907200.

The previous prime is 31000003. The next prime is 31000063.

31000013 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31000013 - 2¹⁸ = 30737869 is a prime.

It is a super-2 number, since 2×31000013² = 1922001612000338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12548 + ... + 14813.

It is an arithmetic number, because the mean of its divisors is an integer number (4268472).

Almost surely, 2^31000013 is an apocalyptic number.

It is an amenable number.

31000013 is a deficient number, since it is larger than the sum of its proper divisors (3147763).

31000013 is a wasteful number, since it uses less digits than its factorization.

31000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27475.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 31000013 is about 5567.7655302644. The cubic root of 31000013 is about 314.1381091509.

It can be divided in two parts, 310000 and 13, that added together give a palindrome (310013).

The spelling of 31000013 in words is "thirty-one million, thirteen", and thus it is an aban number and an uban number.