2133013311 has 128 divisors (see below), whose sum is σ = 3901685760. Its totient is φ = 1134000000.

The previous prime is 2133013303. The next prime is 2133013313. The reversal of 2133013311 is 1133103312.

It is a happy number.

2133013311 is a `hidden beast` number, since 2 + 1 + 330 + 1 + 331 + 1 = 666.

It is not a de Polignac number, because 2133013311 - 2³ = 2133013303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133013313) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8497936 + ... + 8498186.

It is an arithmetic number, because the mean of its divisors is an integer number (30481920).

Almost surely, 2^2133013311 is an apocalyptic number.

2133013311 is a deficient number, since it is larger than the sum of its proper divisors (1768672449).

2133013311 is a wasteful number, since it uses less digits than its factorization.

2133013311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2133013311 is about 46184.5570618578. The cubic root of 2133013311 is about 1287.2548058040.

Adding to 2133013311 its reverse (1133103312), we get a palindrome (3266116623).

Subtracting from 2133013311 its reverse (1133103312), we obtain a palindrome (999909999).

It can be divided in two parts, 213301 and 3311, that added together give a palindrome (216612).

The spelling of 2133013311 in words is "two billion, one hundred thirty-three million, thirteen thousand, three hundred eleven".