1013003113121 has 2 divisors, whose sum is σ = 1013003113122. Its totient is φ = 1013003113120.

The previous prime is 1013003113103. The next prime is 1013003113127. The reversal of 1013003113121 is 1213113003101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 962517966400 + 50485146721 = 981080^2 + 224689^2 .

It is an emirp because it is prime and its reverse (1213113003101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013003113121 - 2¹⁴ = 1013003096737 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013003113121.

It is not a weakly prime, because it can be changed into another prime (1013003113127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506501556560 + 506501556561.

It is an arithmetic number, because the mean of its divisors is an integer number (506501556561).

Almost surely, 2^{1013003113121} is an apocalyptic number.

It is an amenable number.

1013003113121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013003113121 is an equidigital number, since it uses as much as digits as its factorization.

1013003113121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1013003113121 its reverse (1213113003101), we get a palindrome (2226116116222).

The spelling of 1013003113121 in words is "one trillion, thirteen billion, three million, one hundred thirteen thousand, one hundred twenty-one".