31031313013 has 8 divisors (see below), whose sum is σ = 31879272600. Its totient is φ = 30187691520.

The previous prime is 31031313011. The next prime is 31031313017.

It is a happy number.

31031313013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 5335864209 + 25695448804 = 73047^2 + 160298^2 .

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 31031313013 - 2¹ = 31031313011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31031313011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1070020 + ... + 1098637.

It is an arithmetic number, because the mean of its divisors is an integer number (3984909075).

Almost surely, 2^31031313013 is an apocalyptic number.

It is an amenable number.

31031313013 is a deficient number, since it is larger than the sum of its proper divisors (847959587).

31031313013 is a wasteful number, since it uses less digits than its factorization.

31031313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169047.

The product of its (nonzero) digits is 243, while the sum is 19.

The spelling of 31031313013 in words is "thirty-one billion, thirty-one million, three hundred thirteen thousand, thirteen".