1010113121321 has 2 divisors, whose sum is σ = 1010113121322. Its totient is φ = 1010113121320.

The previous prime is 1010113121299. The next prime is 1010113121327. The reversal of 1010113121321 is 1231213110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 720060862096 + 290052259225 = 848564^2 + 538565^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010113121321 - 2²² = 1010108927017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010113121321.

It is not a weakly prime, because it can be changed into another prime (1010113121327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505056560660 + 505056560661.

It is an arithmetic number, because the mean of its divisors is an integer number (505056560661).

Almost surely, 2^{1010113121321} is an apocalyptic number.

It is an amenable number.

1010113121321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010113121321 is an equidigital number, since it uses as much as digits as its factorization.

1010113121321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1010113121321 its reverse (1231213110101), we get a palindrome (2241326231422).

The spelling of 1010113121321 in words is "one trillion, ten billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred twenty-one".