1131101333011 has 8 divisors (see below), whose sum is σ = 1218592348064. Its totient is φ = 1043679349440.

The previous prime is 1131101332997. The next prime is 1131101333029. The reversal of 1131101333011 is 1103331011311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1131101333011 - 2¹⁷ = 1131101201939 is a prime.

It is a super-2 number, since 2×1131101333011² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1131101333011.

It is not an unprimeable number, because it can be changed into a prime (1131101333311) 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 7 ways as a sum of consecutive naturals, for example, 17223831 + ... + 17289376.

It is an arithmetic number, because the mean of its divisors is an integer number (152324043508).

Almost surely, 2^{1131101333011} is an apocalyptic number.

1131101333011 is a deficient number, since it is larger than the sum of its proper divisors (87491015053).

1131101333011 is a wasteful number, since it uses less digits than its factorization.

1131101333011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34515741.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 1131101333011 its reverse (1103331011311), we get a palindrome (2234432344322).

The spelling of 1131101333011 in words is "one trillion, one hundred thirty-one billion, one hundred one million, three hundred thirty-three thousand, eleven".