2011013121 has 64 divisors (see below), whose sum is σ = 3088318464. Its totient is φ = 1155168000.

The previous prime is 2011013093. The next prime is 2011013131. The reversal of 2011013121 is 1213101102.

It is not a de Polignac number, because 2011013121 - 2⁵ = 2011013089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011013097 and 2011013106.

It is not an unprimeable number, because it can be changed into a prime (2011013131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5250496 + ... + 5250878.

It is an arithmetic number, because the mean of its divisors is an integer number (48254976).

Almost surely, 2^2011013121 is an apocalyptic number.

It is an amenable number.

2011013121 is a deficient number, since it is larger than the sum of its proper divisors (1077305343).

2011013121 is a wasteful number, since it uses less digits than its factorization.

2011013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574.

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

The square root of 2011013121 is about 44844.3209447975. The cubic root of 2011013121 is about 1262.2294284855.

Adding to 2011013121 its reverse (1213101102), we get a palindrome (3224114223).

The spelling of 2011013121 in words is "two billion, eleven million, thirteen thousand, one hundred twenty-one".