31011332113 has 2 divisors, whose sum is σ = 31011332114. Its totient is φ = 31011332112.

The previous prime is 31011332111. The next prime is 31011332129. The reversal of 31011332113 is 31123311013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22851461889 + 8159870224 = 151167^2 + 90332^2 .

It is an emirp because it is prime and its reverse (31123311013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31011332113 - 2¹ = 31011332111 is a prime.

Together with 31011332111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31011332111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15505666056 + 15505666057.

It is an arithmetic number, because the mean of its divisors is an integer number (15505666057).

Almost surely, 2^31011332113 is an apocalyptic number.

It is an amenable number.

31011332113 is a deficient number, since it is larger than the sum of its proper divisors (1).

31011332113 is an equidigital number, since it uses as much as digits as its factorization.

31011332113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31011332113 its reverse (31123311013), we get a palindrome (62134643126).

The spelling of 31011332113 in words is "thirty-one billion, eleven million, three hundred thirty-two thousand, one hundred thirteen".