31102013 has 2 divisors, whose sum is σ = 31102014. Its totient is φ = 31102012.

The previous prime is 31101989. The next prime is 31102037. The reversal of 31102013 is 31020113.

It is a balanced prime because it is at equal distance from previous prime (31101989) and next prime (31102037).

It can be written as a sum of positive squares in only one way, i.e., 29571844 + 1530169 = 5438^2 + 1237^2 .

It is a cyclic number.

It is not a de Polignac number, because 31102013 - 2¹⁴ = 31085629 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31101985 and 31102003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31102213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15551006 + 15551007.

It is an arithmetic number, because the mean of its divisors is an integer number (15551007).

Almost surely, 2^31102013 is an apocalyptic number.

It is an amenable number.

31102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31102013 is an equidigital number, since it uses as much as digits as its factorization.

31102013 is an evil number, because the sum of its binary digits is even.

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

The square root of 31102013 is about 5576.9178763901. The cubic root of 31102013 is about 314.4822703863.

Adding to 31102013 its reverse (31020113), we get a palindrome (62122126).

The spelling of 31102013 in words is "thirty-one million, one hundred two thousand, thirteen".