1310213120 has 88 divisors (see below), whose sum is σ = 3328078104. Its totient is φ = 493223936.

The previous prime is 1310213111. The next prime is 1310213131. The reversal of 1310213120 is 213120131.

It can be written as a sum of positive squares in 4 ways, for example, as 616628224 + 693584896 = 24832^2 + 26336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1310213095 and 1310213104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79514 + ... + 94566.

Almost surely, 2^1310213120 is an apocalyptic number.

1310213120 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 1310213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664039052).

1310213120 is an abundant number, since it is smaller than the sum of its proper divisors (2017864984).

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

1310213120 is a wasteful number, since it uses less digits than its factorization.

1310213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15095 (or 15077 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1310213120 is about 36196.8661626943. The cubic root of 1310213120 is about 1094.2435146684.

Adding to 1310213120 its reverse (213120131), we get a palindrome (1523333251).

The spelling of 1310213120 in words is "one billion, three hundred ten million, two hundred thirteen thousand, one hundred twenty".