1013103121 has 2 divisors, whose sum is σ = 1013103122. Its totient is φ = 1013103120.

The previous prime is 1013103079. The next prime is 1013103131. The reversal of 1013103121 is 1213013101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 668481025 + 344622096 = 25855^2 + 18564^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013103121 - 2⁹ = 1013102609 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013103131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506551560 + 506551561.

It is an arithmetic number, because the mean of its divisors is an integer number (506551561).

Almost surely, 2^1013103121 is an apocalyptic number.

It is an amenable number.

1013103121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013103121 is an equidigital number, since it uses as much as digits as its factorization.

1013103121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1013103121 is about 31829.2808746915. The cubic root of 1013103121 is about 1004.3487678043.

Adding to 1013103121 its reverse (1213013101), we get a palindrome (2226116222).

The spelling of 1013103121 in words is "one billion, thirteen million, one hundred three thousand, one hundred twenty-one".