31000102013 has 2 divisors, whose sum is σ = 31000102014. Its totient is φ = 31000102012.

The previous prime is 31000101971. The next prime is 31000102027. The reversal of 31000102013 is 31020100013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29629769689 + 1370332324 = 172133^2 + 37018^2 .

It is a cyclic number.

It is not a de Polignac number, because 31000102013 - 2⁶ = 31000101949 is a prime.

It is a super-2 number, since 2×31000102013² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31000101985 and 31000102003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31000102093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500051006 + 15500051007.

It is an arithmetic number, because the mean of its divisors is an integer number (15500051007).

Almost surely, 2^31000102013 is an apocalyptic number.

It is an amenable number.

31000102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31000102013 is an equidigital number, since it uses as much as digits as its factorization.

31000102013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 31000102013 its reverse (31020100013), we get a palindrome (62020202026).

The spelling of 31000102013 in words is "thirty-one billion, one hundred two thousand, thirteen".