10031013331 has 2 divisors, whose sum is σ = 10031013332. Its totient is φ = 10031013330.

The previous prime is 10031013329. The next prime is 10031013341. The reversal of 10031013331 is 13331013001.

It is a weak prime.

It is an emirp because it is prime and its reverse (13331013001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10031013331 - 2¹ = 10031013329 is a prime.

It is a super-2 number, since 2×10031013331² (a number of 21 digits) contains 22 as substring.

Together with 10031013329, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10031013341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015506665 + 5015506666.

It is an arithmetic number, because the mean of its divisors is an integer number (5015506666).

Almost surely, 2^10031013331 is an apocalyptic number.

10031013331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031013331 is an equidigital number, since it uses as much as digits as its factorization.

10031013331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10031013331 its reverse (13331013001), we get a palindrome (23362026332).

The spelling of 10031013331 in words is "ten billion, thirty-one million, thirteen thousand, three hundred thirty-one".