111020313121313 has 8 divisors (see below), whose sum is σ = 112482599923848. Its totient is φ = 109564510961664.

The previous prime is 111020313121279. The next prime is 111020313121327. The reversal of 111020313121313 is 313121313020111.

It can be written as a sum of positive squares in 4 ways, for example, as 4576275043729 + 106444038077584 = 2139223^2 + 10317172^2 .

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 111020313121313 - 2²⁸ = 111020044685857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111020313127313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1621126256 + ... + 1621194737.

It is an arithmetic number, because the mean of its divisors is an integer number (14060324990481).

Almost surely, 2^{111020313121313} is an apocalyptic number.

It is an amenable number.

111020313121313 is a deficient number, since it is larger than the sum of its proper divisors (1462286802535).

111020313121313 is an equidigital number, since it uses as much as digits as its factorization.

111020313121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242321443.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 111020313121313 its reverse (313121313020111), we get a palindrome (424141626141424).

The spelling of 111020313121313 in words is "one hundred eleven trillion, twenty billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred thirteen".