1101113311311 has 64 divisors (see below), whose sum is σ = 1761959485440. Its totient is φ = 675606597120.

The previous prime is 1101113311297. The next prime is 1101113311313. The reversal of 1101113311311 is 1131133111011.

1101113311311 is a `hidden beast` number, since 1 + 10 + 1 + 11 + 331 + 1 + 311 = 666.

It is not a de Polignac number, because 1101113311311 - 2⁵ = 1101113311279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101113311313) 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, 189615370 + ... + 189621176.

It is an arithmetic number, because the mean of its divisors is an integer number (27530616960).

Almost surely, 2^{1101113311311} is an apocalyptic number.

1101113311311 is a deficient number, since it is larger than the sum of its proper divisors (660846174129).

1101113311311 is a wasteful number, since it uses less digits than its factorization.

1101113311311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7333 (or 7327 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 1101113311311 its reverse (1131133111011), we get a palindrome (2232246422322).

The spelling of 1101113311311 in words is "one trillion, one hundred one billion, one hundred thirteen million, three hundred eleven thousand, three hundred eleven".