1013113013321 has 2 divisors, whose sum is σ = 1013113013322. Its totient is φ = 1013113013320.

The previous prime is 1013113013299. The next prime is 1013113013347. The reversal of 1013113013321 is 1233103113101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 603513013321 + 409600000000 = 776861^2 + 640000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013113013321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013113013293 and 1013113013302.

It is not a weakly prime, because it can be changed into another prime (1013113013351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506556506660 + 506556506661.

It is an arithmetic number, because the mean of its divisors is an integer number (506556506661).

Almost surely, 2^{1013113013321} is an apocalyptic number.

It is an amenable number.

1013113013321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013113013321 is an equidigital number, since it uses as much as digits as its factorization.

1013113013321 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1013113013321 its reverse (1233103113101), we get a palindrome (2246216126422).

The spelling of 1013113013321 in words is "one trillion, thirteen billion, one hundred thirteen million, thirteen thousand, three hundred twenty-one".