1313210220 has 288 divisors, whose sum is σ = 4621209600. Its totient is φ = 272609280.

The previous prime is 1313210191. The next prime is 1313210233. The reversal of 1313210220 is 220123131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1313210220.

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 95 ways as a sum of consecutive naturals, for example, 3762606 + ... + 3762954.

Almost surely, 2^1313210220 is an apocalyptic number.

1313210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310604800).

1313210220 is an abundant number, since it is smaller than the sum of its proper divisors (3307999380).

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

1313210220 is a wasteful number, since it uses less digits than its factorization.

1313210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1313210220 is about 36238.2425070532. The cubic root of 1313210220 is about 1095.0772364777.

Adding to 1313210220 its reverse (220123131), we get a palindrome (1533333351).

The spelling of 1313210220 in words is "one billion, three hundred thirteen million, two hundred ten thousand, two hundred twenty".