1131011332113 has 16 divisors (see below), whose sum is σ = 1627784315136. Its totient is φ = 694392097920.

The previous prime is 1131011332093. The next prime is 1131011332193. The reversal of 1131011332113 is 3112331101311.

It is not a de Polignac number, because 1131011332113 - 2⁵ = 1131011332081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1131011332113.

It is not an unprimeable number, because it can be changed into a prime (1131011332193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33626220 + ... + 33659837.

It is an arithmetic number, because the mean of its divisors is an integer number (101736519696).

Almost surely, 2^{1131011332113} is an apocalyptic number.

1131011332113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1131011332113 is a deficient number, since it is larger than the sum of its proper divisors (496772983023).

1131011332113 is a wasteful number, since it uses less digits than its factorization.

1131011332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67286504.

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

Adding to 1131011332113 its reverse (3112331101311), we get a palindrome (4243342433424).

The spelling of 1131011332113 in words is "one trillion, one hundred thirty-one billion, eleven million, three hundred thirty-two thousand, one hundred thirteen".