2010100013 has 2 divisors, whose sum is σ = 2010100014. Its totient is φ = 2010100012.

The previous prime is 2010099991. The next prime is 2010100021. The reversal of 2010100013 is 3100010102.

It is an a-pointer prime, because the next prime (2010100021) can be obtained adding 2010100013 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1949928964 + 60171049 = 44158^2 + 7757^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010100013 - 2¹² = 2010095917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010100033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005050006 + 1005050007.

It is an arithmetic number, because the mean of its divisors is an integer number (1005050007).

Almost surely, 2^2010100013 is an apocalyptic number.

It is an amenable number.

2010100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010100013 is an equidigital number, since it uses as much as digits as its factorization.

2010100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2010100013 is about 44834.1389233695. The cubic root of 2010100013 is about 1262.0383595725.

Adding to 2010100013 its reverse (3100010102), we get a palindrome (5110110115).

The spelling of 2010100013 in words is "two billion, ten million, one hundred thousand, thirteen".