1313313220 has 12 divisors (see below), whose sum is σ = 2757957804. Its totient is φ = 525325280.

The previous prime is 1313313203. The next prime is 1313313229. The reversal of 1313313220 is 223133131.

It can be written as a sum of positive squares in 2 ways, for example, as 762753924 + 550559296 = 27618^2 + 23464^2 .

It is a super-4 number, since 4×1313313220⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1313313229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32832811 + ... + 32832850.

It is an arithmetic number, because the mean of its divisors is an integer number (229829817).

Almost surely, 2^1313313220 is an apocalyptic number.

1313313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313313220 is an abundant number, since it is smaller than the sum of its proper divisors (1444644584).

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

1313313220 is a wasteful number, since it uses less digits than its factorization.

1313313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65665670 (or 65665668 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1313313220 is about 36239.6636297855. The cubic root of 1313313220 is about 1095.1058660667.

Adding to 1313313220 its reverse (223133131), we get a palindrome (1536446351).

The spelling of 1313313220 in words is "one billion, three hundred thirteen million, three hundred thirteen thousand, two hundred twenty".