2011211013 has 16 divisors (see below), whose sum is σ = 3073064960. Its totient is φ = 1146127536.

The previous prime is 2011210997. The next prime is 2011211117. The reversal of 2011211013 is 3101121102.

It is not a de Polignac number, because 2011211013 - 2⁴ = 2011210997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011211013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011211413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122773 + ... + 138186.

It is an arithmetic number, because the mean of its divisors is an integer number (192066560).

Almost surely, 2^2011211013 is an apocalyptic number.

It is an amenable number.

2011211013 is a deficient number, since it is larger than the sum of its proper divisors (1061853947).

2011211013 is a wasteful number, since it uses less digits than its factorization.

2011211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261336.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 2011211013 is about 44846.5273237516. The cubic root of 2011211013 is about 1262.2708299911.

Adding to 2011211013 its reverse (3101121102), we get a palindrome (5112332115).

It can be divided in two parts, 20112 and 11013, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 2011211013 in words is "two billion, eleven million, two hundred eleven thousand, thirteen".