1002123013249 has 2 divisors, whose sum is σ = 1002123013250. Its totient is φ = 1002123013248.

The previous prime is 1002123013219. The next prime is 1002123013273. The reversal of 1002123013249 is 9423103212001.

It is a happy number.

1002123013249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 856676122624 + 145446890625 = 925568^2 + 381375^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002123013249 - 2⁷ = 1002123013121 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002123013219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501061506624 + 501061506625.

It is an arithmetic number, because the mean of its divisors is an integer number (501061506625).

Almost surely, 2^{1002123013249} is an apocalyptic number.

It is an amenable number.

1002123013249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002123013249 is an equidigital number, since it uses as much as digits as its factorization.

1002123013249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 1002123013249 in words is "one trillion, two billion, one hundred twenty-three million, thirteen thousand, two hundred forty-nine".