813120505021318 has 32 divisors (see below), whose sum is σ = 1338904593280800. Its totient is φ = 368098056825600.

The previous prime is 813120505021291. The next prime is 813120505021337.

It is a happy number.

813120505021318 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×813120505021318² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1446645343 + ... + 1447207306.

It is an arithmetic number, because the mean of its divisors is an integer number (41840768540025).

Almost surely, 2^{813120505021318} is an apocalyptic number.

813120505021318 is a deficient number, since it is larger than the sum of its proper divisors (525784088259482).

813120505021318 is a wasteful number, since it uses less digits than its factorization.

813120505021318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893852872.

The product of its (nonzero) digits is 57600, while the sum is 40.

It can be divided in two parts, 81312050 and 5021318, that added together give a palindrome (86333368).

The spelling of 813120505021318 in words is "eight hundred thirteen trillion, one hundred twenty billion, five hundred five million, twenty-one thousand, three hundred eighteen".