1310126107680 has 288 divisors, whose sum is σ = 4817928351600. Its totient is φ = 322277253120.

The previous prime is 1310126107643. The next prime is 1310126107687. The reversal of 1310126107680 is 867016210131.

1310126107680 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 2 + 610 + 7 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28276440336 + 1281849667344 = 168156^2 + 1132188^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1310126107687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28974690 + ... + 29019870.

Almost surely, 2^{1310126107680} is an apocalyptic number.

1310126107680 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 1310126107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408964175800).

1310126107680 is an abundant number, since it is smaller than the sum of its proper divisors (3507802243920).

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

1310126107680 is a wasteful number, since it uses less digits than its factorization.

1310126107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46764 (or 46753 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1310126107680 in words is "one trillion, three hundred ten billion, one hundred twenty-six million, one hundred seven thousand, six hundred eighty".