31331310013 has 8 divisors (see below), whose sum is σ = 32621646456. Its totient is φ = 30066028800.

The previous prime is 31331310001. The next prime is 31331310041. The reversal of 31331310013 is 31001313313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8092441764 + 23238868249 = 89958^2 + 152443^2 .

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 31331310013 - 2²¹ = 31329212861 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 (31331310053) 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, 6261256 + ... + 6266257.

It is an arithmetic number, because the mean of its divisors is an integer number (4077705807).

Almost surely, 2^31331310013 is an apocalyptic number.

It is an amenable number.

31331310013 is a deficient number, since it is larger than the sum of its proper divisors (1290336443).

31331310013 is a wasteful number, since it uses less digits than its factorization.

31331310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12527615.

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

Adding to 31331310013 its reverse (31001313313), we get a palindrome (62332623326).

The spelling of 31331310013 in words is "thirty-one billion, three hundred thirty-one million, three hundred ten thousand, thirteen".