1133116113311 has 24 divisors (see below), whose sum is σ = 1428216867504. Its totient is φ = 891031155840.

The previous prime is 1133116113301. The next prime is 1133116113331.

1133116113311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1133116113311 - 2¹⁸ = 1133115851167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133116113301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5352710 + ... + 5560371.

It is an arithmetic number, because the mean of its divisors is an integer number (59509036146).

Almost surely, 2^{1133116113311} is an apocalyptic number.

1133116113311 is a deficient number, since it is larger than the sum of its proper divisors (295100754193).

1133116113311 is a wasteful number, since it uses less digits than its factorization.

1133116113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10913271 (or 10913264 counting only the distinct ones).

The product of its digits is 486, while the sum is 26.

The spelling of 1133116113311 in words is "one trillion, one hundred thirty-three billion, one hundred sixteen million, one hundred thirteen thousand, three hundred eleven".