1310279810112 has 504 divisors, whose sum is σ = 4879211553216. Its totient is φ = 345565688832.

The previous prime is 1310279810089. The next prime is 1310279810143. The reversal of 1310279810112 is 2110189720131.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9840493 + ... + 9972755.

It is an arithmetic number, because the mean of its divisors is an integer number (9680975304).

Almost surely, 2^{1310279810112} is an apocalyptic number.

1310279810112 is a gapful number since it is divisible by the number (12) 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 1310279810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439605776608).

1310279810112 is an abundant number, since it is smaller than the sum of its proper divisors (3568931743104).

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

1310279810112 is a wasteful number, since it uses less digits than its factorization.

1310279810112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132317 (or 132288 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 1310279810112 in words is "one trillion, three hundred ten billion, two hundred seventy-nine million, eight hundred ten thousand, one hundred twelve".