1331002112121 has 28 divisors (see below), whose sum is σ = 2177007582960. Its totient is φ = 806667941880.

The previous prime is 1331002112119. The next prime is 1331002112129. The reversal of 1331002112121 is 1212112001331.

1331002112121 is a `hidden beast` number, since 1 + 331 + 0 + 0 + 211 + 2 + 121 = 666.

It is not a de Polignac number, because 1331002112121 - 2¹ = 1331002112119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331002112094 and 1331002112103.

It is not an unprimeable number, because it can be changed into a prime (1331002112129) 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 27 ways as a sum of consecutive naturals, for example, 82982511 + ... + 82998548.

It is an arithmetic number, because the mean of its divisors is an integer number (77750270820).

Almost surely, 2^{1331002112121} is an apocalyptic number.

1331002112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331002112121 is a deficient number, since it is larger than the sum of its proper divisors (846005470839).

1331002112121 is an equidigital number, since it uses as much as digits as its factorization.

1331002112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165981088 (or 165981073 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1331002112121 its reverse (1212112001331), we get a palindrome (2543114113452).

The spelling of 1331002112121 in words is "one trillion, three hundred thirty-one billion, two million, one hundred twelve thousand, one hundred twenty-one".