11331131032011 has 128 divisors (see below), whose sum is σ = 18274200846336. Its totient is φ = 6105882499200.

The previous prime is 11331131031991. The next prime is 11331131032019. The reversal of 11331131032011 is 11023013113311.

It is not a de Polignac number, because 11331131032011 - 2²¹ = 11331128934859 is a prime.

It is a super-5 number, since 5×11331131032011⁵ (a number of 66 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11331131032019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6340867060 + ... + 6340868846.

It is an arithmetic number, because the mean of its divisors is an integer number (142767194112).

Almost surely, 2^{11331131032011} is an apocalyptic number.

11331131032011 is a deficient number, since it is larger than the sum of its proper divisors (6943069814325).

11331131032011 is a wasteful number, since it uses less digits than its factorization.

11331131032011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 11331131032011 its reverse (11023013113311), we get a palindrome (22354144145322).

The spelling of 11331131032011 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, thirty-two thousand, eleven".