1130031121121 has 64 divisors (see below), whose sum is σ = 1347799357440. Its totient is φ = 927529574400.

The previous prime is 1130031121103. The next prime is 1130031121139. The reversal of 1130031121121 is 1211211300311.

It is an interprime number because it is at equal distance from previous prime (1130031121103) and next prime (1130031121139).

It is a cyclic number.

It is not a de Polignac number, because 1130031121121 - 2¹⁴ = 1130031104737 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 1130031121121.

It is not an unprimeable number, because it can be changed into a prime (1130031121721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1843443611 + ... + 1843444223.

It is an arithmetic number, because the mean of its divisors is an integer number (21059364960).

Almost surely, 2^{1130031121121} is an apocalyptic number.

It is an amenable number.

1130031121121 is a deficient number, since it is larger than the sum of its proper divisors (217768236319).

1130031121121 is a wasteful number, since it uses less digits than its factorization.

1130031121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314.

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

Adding to 1130031121121 its reverse (1211211300311), we get a palindrome (2341242421432).

The spelling of 1130031121121 in words is "one trillion, one hundred thirty billion, thirty-one million, one hundred twenty-one thousand, one hundred twenty-one".