1413331011121 has 2 divisors, whose sum is σ = 1413331011122. Its totient is φ = 1413331011120.

The previous prime is 1413331011097. The next prime is 1413331011133. The reversal of 1413331011121 is 1211101333141.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 803855696400 + 609475314721 = 896580^2 + 780689^2 .

It is a cyclic number.

It is not a de Polignac number, because 1413331011121 - 2⁵ = 1413331011089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1413331011092 and 1413331011101.

It is not a weakly prime, because it can be changed into another prime (1413331011181) 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 as a sum of consecutive naturals, namely, 706665505560 + 706665505561.

It is an arithmetic number, because the mean of its divisors is an integer number (706665505561).

Almost surely, 2^{1413331011121} is an apocalyptic number.

It is an amenable number.

1413331011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1413331011121 is an equidigital number, since it uses as much as digits as its factorization.

1413331011121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 1413331011121 its reverse (1211101333141), we get a palindrome (2624432344262).

The spelling of 1413331011121 in words is "one trillion, four hundred thirteen billion, three hundred thirty-one million, eleven thousand, one hundred twenty-one".