11100331311201 has 24 divisors (see below), whose sum is σ = 18251928167616. Its totient is φ = 6434974671840.

The previous prime is 11100331311187. The next prime is 11100331311253. The reversal of 11100331311201 is 10211313300111.

11100331311201 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 0 + 331 + 311 + 20 + 1 = 666.

It is not a de Polignac number, because 11100331311201 - 2²³ = 11100322922593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11100331312201) 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, 2437488130 + ... + 2437492683.

It is an arithmetic number, because the mean of its divisors is an integer number (760497006984).

Almost surely, 2^{11100331311201} is an apocalyptic number.

11100331311201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11100331311201 is a deficient number, since it is larger than the sum of its proper divisors (7151596856415).

11100331311201 is a wasteful number, since it uses less digits than its factorization.

11100331311201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4874980853 (or 4874980850 counting only the distinct ones).

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

Adding to 11100331311201 its reverse (10211313300111), we get a palindrome (21311644611312).

The spelling of 11100331311201 in words is "eleven trillion, one hundred billion, three hundred thirty-one million, three hundred eleven thousand, two hundred one".