11331131121101 has 8 divisors (see below), whose sum is σ = 12443096428608. Its totient is φ = 10232809560000.

The previous prime is 11331131121083. The next prime is 11331131121143. The reversal of 11331131121101 is 10112113113311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11331131121101 - 2²² = 11331126926797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331131421101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3410934860 + ... + 3410938181.

It is an arithmetic number, because the mean of its divisors is an integer number (1555387053576).

Almost surely, 2^{11331131121101} is an apocalyptic number.

11331131121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11331131121101 is a deficient number, since it is larger than the sum of its proper divisors (1111965307507).

11331131121101 is a wasteful number, since it uses less digits than its factorization.

11331131121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821873203.

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 11331131121101 its reverse (10112113113311), we get a palindrome (21443244234412).

The spelling of 11331131121101 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred one".