2011010001131 has 16 divisors (see below), whose sum is σ = 2058064015104. Its totient is φ = 1964305309824.

The previous prime is 2011010001083. The next prime is 2011010001149. The reversal of 2011010001131 is 1311000101102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2011010001131 - 2¹⁰ = 2011010000107 is a prime.

It is a super-2 number, since 2×2011010001131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011010001731) 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, 17751590 + ... + 17864516.

It is an arithmetic number, because the mean of its divisors is an integer number (128629000944).

Almost surely, 2^{2011010001131} is an apocalyptic number.

2011010001131 is a deficient number, since it is larger than the sum of its proper divisors (47054013973).

2011010001131 is a wasteful number, since it uses less digits than its factorization.

2011010001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114470.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 2011010001131 its reverse (1311000101102), we get a palindrome (3322010102233).

The spelling of 2011010001131 in words is "two trillion, eleven billion, ten million, one thousand, one hundred thirty-one".