2011013133231 has 64 divisors (see below), whose sum is σ = 2776132177920. Its totient is φ = 1294242693120.

The previous prime is 2011013133209. The next prime is 2011013133271. The reversal of 2011013133231 is 1323313101102.

It is a happy number.

It is not a de Polignac number, because 2011013133231 - 2²¹ = 2011011036079 is a prime.

It is a super-2 number, since 2×2011013133231² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011013133198 and 2011013133207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011013133271) 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, 1950545686 + ... + 1950546716.

It is an arithmetic number, because the mean of its divisors is an integer number (43377065280).

Almost surely, 2^{2011013133231} is an apocalyptic number.

2011013133231 is a deficient number, since it is larger than the sum of its proper divisors (765119044689).

2011013133231 is a wasteful number, since it uses less digits than its factorization.

2011013133231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 2011013133231 its reverse (1323313101102), we get a palindrome (3334326234333).

The spelling of 2011013133231 in words is "two trillion, eleven billion, thirteen million, one hundred thirty-three thousand, two hundred thirty-one".