1001130113321 has 8 divisors (see below), whose sum is σ = 1078260028104. Its totient is φ = 924017328000.

The previous prime is 1001130113297. The next prime is 1001130113329. The reversal of 1001130113321 is 1233110311001.

It can be written as a sum of positive squares in 4 ways, for example, as 97468840000 + 903661273321 = 312200^2 + 950611^2 .

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

It is not a de Polignac number, because 1001130113321 - 2³⁸ = 726252206377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001130113321.

It is not an unprimeable number, because it can be changed into a prime (1001130113329) 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, 4160846 + ... + 4394871.

It is an arithmetic number, because the mean of its divisors is an integer number (134782503513).

Almost surely, 2^{1001130113321} is an apocalyptic number.

It is an amenable number.

1001130113321 is a deficient number, since it is larger than the sum of its proper divisors (77129914783).

1001130113321 is an equidigital number, since it uses as much as digits as its factorization.

1001130113321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8564731.

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

Adding to 1001130113321 its reverse (1233110311001), we get a palindrome (2234240424322).

The spelling of 1001130113321 in words is "one trillion, one billion, one hundred thirty million, one hundred thirteen thousand, three hundred twenty-one".