1102311103131 has 40 divisors (see below), whose sum is σ = 1980947105280. Its totient is φ = 596739839472.

The previous prime is 1102311103129. The next prime is 1102311103133. The reversal of 1102311103131 is 1313011132011.

1102311103131 is a `hidden beast` number, since 1 + 10 + 231 + 110 + 313 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1102311103129) and next prime (1102311103133).

It is not a de Polignac number, because 1102311103131 - 2¹ = 1102311103129 is a prime.

It is a super-2 number, since 2×1102311103131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1102311103133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51150051 + ... + 51171596.

It is an arithmetic number, because the mean of its divisors is an integer number (49523677632).

Almost surely, 2^{1102311103131} is an apocalyptic number.

1102311103131 is a deficient number, since it is larger than the sum of its proper divisors (878636002149).

1102311103131 is a wasteful number, since it uses less digits than its factorization.

1102311103131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102321685 (or 102321676 counting only the distinct ones).

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

Adding to 1102311103131 its reverse (1313011132011), we get a palindrome (2415322235142).

The spelling of 1102311103131 in words is "one trillion, one hundred two billion, three hundred eleven million, one hundred three thousand, one hundred thirty-one".