1310076827136 has 960 divisors, whose sum is σ = 4915365396480. Its totient is φ = 337217126400.

The previous prime is 1310076827011. The next prime is 1310076827149. The reversal of 1310076827136 is 6317286700131.

1310076827136 is a `hidden beast` number, since 1 + 310 + 0 + 7 + 68 + 271 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1310076827091 and 1310076827100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1487033416 + ... + 1487034296.

It is an arithmetic number, because the mean of its divisors is an integer number (5120172288).

Almost surely, 2^{1310076827136} is an apocalyptic number.

1310076827136 is a gapful number since it is divisible by the number (16) 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 1310076827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457682698240).

1310076827136 is an abundant number, since it is smaller than the sum of its proper divisors (3605288569344).

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

1310076827136 is a wasteful number, since it uses less digits than its factorization.

1310076827136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1310076827136 in words is "one trillion, three hundred ten billion, seventy-six million, eight hundred twenty-seven thousand, one hundred thirty-six".