1001113033121 has 2 divisors, whose sum is σ = 1001113033122. Its totient is φ = 1001113033120.

The previous prime is 1001113033093. The next prime is 1001113033169. The reversal of 1001113033121 is 1213303111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 724132921600 + 276980111521 = 850960^2 + 526289^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001113033121 - 2²² = 1001108838817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001113033121.

It is not a weakly prime, because it can be changed into another prime (1001113033171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500556516560 + 500556516561.

It is an arithmetic number, because the mean of its divisors is an integer number (500556516561).

Almost surely, 2^{1001113033121} is an apocalyptic number.

It is an amenable number.

1001113033121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001113033121 is an equidigital number, since it uses as much as digits as its factorization.

1001113033121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1001113033121 its reverse (1213303111001), we get a palindrome (2214416144122).

The spelling of 1001113033121 in words is "one trillion, one billion, one hundred thirteen million, thirty-three thousand, one hundred twenty-one".