2010110013 has 20 divisors (see below), whose sum is σ = 3010983360. Its totient is φ = 1336402152.

The previous prime is 2010109991. The next prime is 2010110023. The reversal of 2010110013 is 3100110102.

It is not a de Polignac number, because 2010110013 - 2¹⁷ = 2009978941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2010109977 and 2010110004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010110023) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4083 + ... + 63536.

It is an arithmetic number, because the mean of its divisors is an integer number (150549168).

Almost surely, 2^2010110013 is an apocalyptic number.

It is an amenable number.

2010110013 is a deficient number, since it is larger than the sum of its proper divisors (1000873347).

2010110013 is an equidigital number, since it uses as much as digits as its factorization.

2010110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67998 (or 67989 counting only the distinct ones).

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

The square root of 2010110013 is about 44834.2504453905. The cubic root of 2010110013 is about 1262.0404523975.

Adding to 2010110013 its reverse (3100110102), we get a palindrome (5110220115).

The spelling of 2010110013 in words is "two billion, ten million, one hundred ten thousand, thirteen".