1213336333121 has 12 divisors (see below), whose sum is σ = 1346871848532. Its totient is φ = 1092111900000.

The previous prime is 1213336333093. The next prime is 1213336333147.

1213336333121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1138019568400 + 75316764721 = 1066780^2 + 274439^2 .

It is not a de Polignac number, because 1213336333121 - 2¹⁰ = 1213336332097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1213336233121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49629230 + ... + 49653671.

It is an arithmetic number, because the mean of its divisors is an integer number (112239320711).

Almost surely, 2^{1213336333121} is an apocalyptic number.

1213336333121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1213336333121 is a deficient number, since it is larger than the sum of its proper divisors (133535515411).

1213336333121 is a wasteful number, since it uses less digits than its factorization.

1213336333121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99283024 (or 99283013 counting only the distinct ones).

The product of its digits is 17496, while the sum is 32.

It can be divided in two parts, 121 and 3336333121, that multiplied together give a square (403696307641 = 635371²).

The spelling of 1213336333121 in words is "one trillion, two hundred thirteen billion, three hundred thirty-six million, three hundred thirty-three thousand, one hundred twenty-one".