1102111331013 has 96 divisors (see below), whose sum is σ = 2118642739200. Its totient is φ = 534752668800.

The previous prime is 1102111330997. The next prime is 1102111331033. The reversal of 1102111331013 is 3101331112011.

1102111331013 is a `hidden beast` number, since 110 + 211 + 1 + 331 + 0 + 13 = 666.

It is not a de Polignac number, because 1102111331013 - 2⁴ = 1102111330997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102111331033) 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 95 ways as a sum of consecutive naturals, for example, 345403 + ... + 1524311.

It is an arithmetic number, because the mean of its divisors is an integer number (22069195200).

Almost surely, 2^{1102111331013} is an apocalyptic number.

It is an amenable number.

1102111331013 is a deficient number, since it is larger than the sum of its proper divisors (1016531408187).

1102111331013 is a wasteful number, since it uses less digits than its factorization.

1102111331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179023 (or 1179020 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1102111331013 its reverse (3101331112011), we get a palindrome (4203442443024).

The spelling of 1102111331013 in words is "one trillion, one hundred two billion, one hundred eleven million, three hundred thirty-one thousand, thirteen".