3102100013 has 2 divisors, whose sum is σ = 3102100014. Its totient is φ = 3102100012.

The previous prime is 3102100003. The next prime is 3102100021. The reversal of 3102100013 is 3100012013.

3102100013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2645764969 + 456335044 = 51437^2 + 21362^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3102100013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3102099967 and 3102100003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3102100003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1551050006 + 1551050007.

It is an arithmetic number, because the mean of its divisors is an integer number (1551050007).

Almost surely, 2^3102100013 is an apocalyptic number.

It is an amenable number.

3102100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3102100013 is an equidigital number, since it uses as much as digits as its factorization.

3102100013 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 3102100013 is about 55696.4991090104. The cubic root of 3102100013 is about 1458.4289118730.

Adding to 3102100013 its reverse (3100012013), we get a palindrome (6202112026).

The spelling of 3102100013 in words is "three billion, one hundred two million, one hundred thousand, thirteen".