1313200123220 has 12 divisors (see below), whose sum is σ = 2757720258804. Its totient is φ = 525280049280.

The previous prime is 1313200123171. The next prime is 1313200123267. The reversal of 1313200123220 is 223210023131.

It can be written as a sum of positive squares in 2 ways, for example, as 561351586756 + 751848536464 = 749234^2 + 867092^2 .

It is a super-3 number, since 3×1313200123220³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 65660006161 = 1313200123220 / (1 + 3 + 1 + 3 + 2 + 0 + 0 + 1 + 2 + 3 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1313200123192 and 1313200123201.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 32830003061 + ... + 32830003100.

It is an arithmetic number, because the mean of its divisors is an integer number (229810021567).

Almost surely, 2^{1313200123220} is an apocalyptic number.

1313200123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313200123220 is an abundant number, since it is smaller than the sum of its proper divisors (1444520135584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313200123220 is a wasteful number, since it uses less digits than its factorization.

1313200123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65660006170 (or 65660006168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1313200123220 its reverse (223210023131), we get a palindrome (1536410146351).

The spelling of 1313200123220 in words is "one trillion, three hundred thirteen billion, two hundred million, one hundred twenty-three thousand, two hundred twenty".