1310242133130 has 256 divisors, whose sum is σ = 3890626560000. Its totient is φ = 281482242048.

The previous prime is 1310242133117. The next prime is 1310242133171. The reversal of 1310242133130 is 313312420131.

It is a self number, because there is not a number n which added to its sum of digits gives 1310242133130.

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 127 ways as a sum of consecutive naturals, for example, 24803386 + ... + 24856154.

It is an arithmetic number, because the mean of its divisors is an integer number (15197760000).

Almost surely, 2^{1310242133130} is an apocalyptic number.

1310242133130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310242133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945313280000).

1310242133130 is an abundant number, since it is smaller than the sum of its proper divisors (2580384426870).

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

1310242133130 is a wasteful number, since it uses less digits than its factorization.

1310242133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52946 (or 52932 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1310242133130 its reverse (313312420131), we get a palindrome (1623554553261).

The spelling of 1310242133130 in words is "one trillion, three hundred ten billion, two hundred forty-two million, one hundred thirty-three thousand, one hundred thirty".