1310242120 has 64 divisors (see below), whose sum is σ = 3220741440. Its totient is φ = 475756800.

The previous prime is 1310242111. The next prime is 1310242123. The reversal of 1310242120 is 212420131.

It is a junction number, because it is equal to n+sod(n) for n = 1310242094 and 1310242103.

It is not an unprimeable number, because it can be changed into a prime (1310242123) by changing a digit.

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, 373575 + ... + 377065.

It is an arithmetic number, because the mean of its divisors is an integer number (50324085).

Almost surely, 2^1310242120 is an apocalyptic number.

1310242120 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 1310242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610370720).

1310242120 is an abundant number, since it is smaller than the sum of its proper divisors (1910499320).

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

1310242120 is a wasteful number, since it uses less digits than its factorization.

1310242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1310242120 is about 36197.2667476427. The cubic root of 1310242120 is about 1094.2515878659.

Adding to 1310242120 its reverse (212420131), we get a palindrome (1522662251).

The spelling of 1310242120 in words is "one billion, three hundred ten million, two hundred forty-two thousand, one hundred twenty".