2101010013 has 6 divisors (see below), whose sum is σ = 3034792254. Its totient is φ = 1400673336.

The previous prime is 2101010011. The next prime is 2101010069. The reversal of 2101010013 is 3100101012.

It can be written as a sum of positive squares in only one way, i.e., 1179098244 + 921911769 = 34338^2 + 30363^2 .

It is not a de Polignac number, because 2101010013 - 2¹ = 2101010011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 233445557 = 2101010013 / (2 + 1 + 0 + 1 + 0 + 1 + 0 + 0 + 1 + 3).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2101009977 and 2101010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101010011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116722770 + ... + 116722787.

It is an arithmetic number, because the mean of its divisors is an integer number (505798709).

Almost surely, 2^2101010013 is an apocalyptic number.

It is an amenable number.

2101010013 is a deficient number, since it is larger than the sum of its proper divisors (933782241).

2101010013 is a wasteful number, since it uses less digits than its factorization.

2101010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233445563 (or 233445560 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2101010013 is about 45836.7757701172. The cubic root of 2101010013 is about 1280.7844339243.

Adding to 2101010013 its reverse (3100101012), we get a palindrome (5201111025).

Subtracting 2101010013 from its reverse (3100101012), we obtain a palindrome (999090999).

The spelling of 2101010013 in words is "two billion, one hundred one million, ten thousand, thirteen".