1313212120 has 64 divisors (see below), whose sum is σ = 3248087040. Its totient is φ = 473865600.

The previous prime is 1313212099. The next prime is 1313212169. The reversal of 1313212120 is 212123131.

It is a super-2 number, since 2×1313212120² = 3449052144229788800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313212094 and 1313212103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46249 + ... + 69031.

It is an arithmetic number, because the mean of its divisors is an integer number (50751360).

Almost surely, 2^1313212120 is an apocalyptic number.

1313212120 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 1313212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624043520).

1313212120 is an abundant number, since it is smaller than the sum of its proper divisors (1934874920).

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

1313212120 is a wasteful number, since it uses less digits than its factorization.

1313212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22936 (or 22932 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1313212120 is about 36238.2687224431. The cubic root of 1313212120 is about 1095.0777646099.

Adding to 1313212120 its reverse (212123131), we get a palindrome (1525335251).

It can be divided in two parts, 13132 and 12120, that added together give a palindrome (25252).

The spelling of 1313212120 in words is "one billion, three hundred thirteen million, two hundred twelve thousand, one hundred twenty".