1310340005120 has 72 divisors (see below), whose sum is σ = 3215226941640. Its totient is φ = 511352176640.

The previous prime is 1310340005053. The next prime is 1310340005153. The reversal of 1310340005120 is 215000430131.

It can be written as a sum of positive squares in 4 ways, for example, as 78382081024 + 1231957924096 = 279968^2 + 1109936^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1310340005092 and 1310340005101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12431705 + ... + 12536664.

It is an arithmetic number, because the mean of its divisors is an integer number (44655929745).

Almost surely, 2^{1310340005120} is an apocalyptic number.

1310340005120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310340005120 is an abundant number, since it is smaller than the sum of its proper divisors (1904886936520).

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

1310340005120 is an equidigital number, since it uses as much as digits as its factorization.

1310340005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24968431 (or 24968417 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 1310340005120 its reverse (215000430131), we get a palindrome (1525340435251).

The spelling of 1310340005120 in words is "one trillion, three hundred ten billion, three hundred forty million, five thousand, one hundred twenty".