1102100011331 has 32 divisors (see below), whose sum is σ = 1277558231040. Its totient is φ = 940827210400.

The previous prime is 1102100011301. The next prime is 1102100011333. The reversal of 1102100011331 is 1331100012011.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1102100011331 is a prime.

It is a super-3 number, since 3×1102100011331³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102100011333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11041076 + ... + 11140446.

It is an arithmetic number, because the mean of its divisors is an integer number (39923694720).

Almost surely, 2^{1102100011331} is an apocalyptic number.

1102100011331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1102100011331 is a deficient number, since it is larger than the sum of its proper divisors (175458219709).

1102100011331 is a wasteful number, since it uses less digits than its factorization.

1102100011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100207.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1102100011331 its reverse (1331100012011), we get a palindrome (2433200023342).

The spelling of 1102100011331 in words is "one trillion, one hundred two billion, one hundred million, eleven thousand, three hundred thirty-one".