1331022220121 has 48 divisors (see below), whose sum is σ = 1629099355968. Its totient is φ = 1074591360000.

The previous prime is 1331022220109. The next prime is 1331022220147. The reversal of 1331022220121 is 1210222201331.

It is a de Polignac number, because none of the positive numbers 2^k-1331022220121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1331022220093 and 1331022220102.

It is not an unprimeable number, because it can be changed into a prime (1331022222121) 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 47 ways as a sum of consecutive naturals, for example, 16904981 + ... + 16983533.

It is an arithmetic number, because the mean of its divisors is an integer number (33939569916).

Almost surely, 2^{1331022220121} is an apocalyptic number.

1331022220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331022220121 is a deficient number, since it is larger than the sum of its proper divisors (298077135847).

1331022220121 is a wasteful number, since it uses less digits than its factorization.

1331022220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78870 (or 78851 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1331022220121 its reverse (1210222201331), we get a palindrome (2541244421452).

The spelling of 1331022220121 in words is "one trillion, three hundred thirty-one billion, twenty-two million, two hundred twenty thousand, one hundred twenty-one".