1313320001220 has 72 divisors (see below), whose sum is σ = 3986639571096. Its totient is φ = 349963525632.

The previous prime is 1313320001209. The next prime is 1313320001239. The reversal of 1313320001220 is 221000233131.

1313320001220 is a `hidden beast` number, since 1 + 313 + 320 + 0 + 0 + 12 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 702418314816 + 610901686404 = 838104^2 + 781602^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1313320001193 and 1313320001202.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2409897 + ... + 2904176.

It is an arithmetic number, because the mean of its divisors is an integer number (55369994043).

Almost surely, 2^{1313320001220} is an apocalyptic number.

1313320001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313320001220 is an abundant number, since it is smaller than the sum of its proper divisors (2673319569876).

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

1313320001220 is a wasteful number, since it uses less digits than its factorization.

1313320001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315461 (or 5315456 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1313320001220 its reverse (221000233131), we get a palindrome (1534320234351).

The spelling of 1313320001220 in words is "one trillion, three hundred thirteen billion, three hundred twenty million, one thousand, two hundred twenty".