1331331212129 has 2 divisors, whose sum is σ = 1331331212130. Its totient is φ = 1331331212128.

The previous prime is 1331331211993. The next prime is 1331331212131. The reversal of 1331331212129 is 9212121331331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1283118031504 + 48213180625 = 1132748^2 + 219575^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331331212129 - 2³⁶ = 1262611735393 is a prime.

Together with 1331331212131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331331212095 and 1331331212104.

It is not a weakly prime, because it can be changed into another prime (1331331202129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665665606064 + 665665606065.

It is an arithmetic number, because the mean of its divisors is an integer number (665665606065).

Almost surely, 2^{1331331212129} is an apocalyptic number.

It is an amenable number.

1331331212129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331331212129 is an equidigital number, since it uses as much as digits as its factorization.

1331331212129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5832, while the sum is 32.

The spelling of 1331331212129 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-one million, two hundred twelve thousand, one hundred twenty-nine".