1310512414120 has 128 divisors (see below), whose sum is σ = 3631157913600. Its totient is φ = 414521680896.

The previous prime is 1310512414111. The next prime is 1310512414151. The reversal of 1310512414120 is 214142150131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6411337 + ... + 6612583.

It is an arithmetic number, because the mean of its divisors is an integer number (28368421200).

Almost surely, 2^{1310512414120} is an apocalyptic number.

1310512414120 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 1310512414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815578956800).

1310512414120 is an abundant number, since it is smaller than the sum of its proper divisors (2320645499480).

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

1310512414120 is a wasteful number, since it uses less digits than its factorization.

1310512414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203067 (or 203063 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 1310512414120 its reverse (214142150131), we get a palindrome (1524654564251).

The spelling of 1310512414120 in words is "one trillion, three hundred ten billion, five hundred twelve million, four hundred fourteen thousand, one hundred twenty".