130311111221 has 8 divisors (see below), whose sum is σ = 131782483800. Its totient is φ = 128839898880.

The previous prime is 130311111209. The next prime is 130311111233. The reversal of 130311111221 is 122111113031.

It is an interprime number because it is at equal distance from previous prime (130311111209) and next prime (130311111233).

It can be written as a sum of positive squares in 4 ways, for example, as 721191025 + 129589920196 = 26855^2 + 359986^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 130311111221 - 2¹⁰ = 130311110197 is a prime.

It is a super-3 number, since 3×130311111221³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 130311111221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130311117221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2493641 + ... + 2545361.

It is an arithmetic number, because the mean of its divisors is an integer number (16472810475).

Almost surely, 2^130311111221 is an apocalyptic number.

It is an amenable number.

130311111221 is a deficient number, since it is larger than the sum of its proper divisors (1471372579).

130311111221 is an equidigital number, since it uses as much as digits as its factorization.

130311111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80119.

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

Adding to 130311111221 its reverse (122111113031), we get a palindrome (252422224252).

The spelling of 130311111221 in words is "one hundred thirty billion, three hundred eleven million, one hundred eleven thousand, two hundred twenty-one".