2011123331001 has 24 divisors (see below), whose sum is σ = 2975950341000. Its totient is φ = 1307985350400.

The previous prime is 2011123330921. The next prime is 2011123331033. The reversal of 2011123331001 is 1001333211102.

It can be written as a sum of positive squares in 4 ways, for example, as 58329495225 + 1952793835776 = 241515^2 + 1397424^2 .

It is not a de Polignac number, because 2011123331001 - 2¹⁰ = 2011123329977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011123331081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8376375 + ... + 8613123.

It is an arithmetic number, because the mean of its divisors is an integer number (123997930875).

Almost surely, 2^{2011123331001} is an apocalyptic number.

It is an amenable number.

2011123331001 is a deficient number, since it is larger than the sum of its proper divisors (964827009999).

2011123331001 is a wasteful number, since it uses less digits than its factorization.

2011123331001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259817 (or 259814 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2011123331001 its reverse (1001333211102), we get a palindrome (3012456542103).

The spelling of 2011123331001 in words is "two trillion, eleven billion, one hundred twenty-three million, three hundred thirty-one thousand, one".