1133134313311 has 64 divisors (see below), whose sum is σ = 1614724070400. Its totient is φ = 772143166080.

The previous prime is 1133134313309. The next prime is 1133134313327.

1133134313311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1133134313311 - 2¹ = 1133134313309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1133134313311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133134313341) 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, 2055105 + ... + 2547493.

It is an arithmetic number, because the mean of its divisors is an integer number (25230063600).

Almost surely, 2^{1133134313311} is an apocalyptic number.

1133134313311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1133134313311 is a deficient number, since it is larger than the sum of its proper divisors (481589757089).

1133134313311 is a wasteful number, since it uses less digits than its factorization.

1133134313311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492461 (or 492439 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

The spelling of 1133134313311 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-four million, three hundred thirteen thousand, three hundred eleven".