31011300013 has 2 divisors, whose sum is σ = 31011300014. Its totient is φ = 31011300012.

The previous prime is 31011299899. The next prime is 31011300029. The reversal of 31011300013 is 31000311013.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28812346564 + 2198953449 = 169742^2 + 46893^2 .

It is a cyclic number.

It is not a de Polignac number, because 31011300013 - 2¹⁷ = 31011168941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31011299966 and 31011300002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31011300083) 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, 15505650006 + 15505650007.

It is an arithmetic number, because the mean of its divisors is an integer number (15505650007).

Almost surely, 2^31011300013 is an apocalyptic number.

It is an amenable number.

31011300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31011300013 is an equidigital number, since it uses as much as digits as its factorization.

31011300013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 31011300013 its reverse (31000311013), we get a palindrome (62011611026).

The spelling of 31011300013 in words is "thirty-one billion, eleven million, three hundred thousand, thirteen".