1133443211131 has 64 divisors (see below), whose sum is σ = 1506428928000. Its totient is φ = 826097944320.

The previous prime is 1133443211107. The next prime is 1133443211167. The reversal of 1133443211131 is 1311123443311.

It is not a de Polignac number, because 1133443211131 - 2¹⁹ = 1133442686843 is a prime.

It is a super-2 number, since 2×1133443211131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1133443211131.

It is not an unprimeable number, because it can be changed into a prime (1133443241131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93612780 + ... + 93624886.

It is an arithmetic number, because the mean of its divisors is an integer number (23537952000).

Almost surely, 2^{1133443211131} is an apocalyptic number.

1133443211131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1133443211131 is a deficient number, since it is larger than the sum of its proper divisors (372985716869).

1133443211131 is a wasteful number, since it uses less digits than its factorization.

1133443211131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12952.

The product of its digits is 2592, while the sum is 28.

Adding to 1133443211131 its reverse (1311123443311), we get a palindrome (2444566654442).

The spelling of 1133443211131 in words is "one trillion, one hundred thirty-three billion, four hundred forty-three million, two hundred eleven thousand, one hundred thirty-one".