1013103121313 has 8 divisors (see below), whose sum is σ = 1014956384520. Its totient is φ = 1011250114560.

The previous prime is 1013103121291. The next prime is 1013103121321. The reversal of 1013103121313 is 3131213013101.

It can be written as a sum of positive squares in 4 ways, for example, as 2048739169 + 1011054382144 = 45263^2 + 1005512^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1013103121313 - 2⁶ = 1013103121249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013103121343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9012293 + ... + 9124013.

It is an arithmetic number, because the mean of its divisors is an integer number (126869548065).

Almost surely, 2^{1013103121313} is an apocalyptic number.

It is an amenable number.

1013103121313 is a deficient number, since it is larger than the sum of its proper divisors (1853263207).

1013103121313 is a wasteful number, since it uses less digits than its factorization.

1013103121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128227.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1013103121313 its reverse (3131213013101), we get a palindrome (4144316134414).

The spelling of 1013103121313 in words is "one trillion, thirteen billion, one hundred three million, one hundred twenty-one thousand, three hundred thirteen".