1310690919552 has 256 divisors, whose sum is σ = 4434671462400. Its totient is φ = 333904232448.

The previous prime is 1310690919539. The next prime is 1310690919589. The reversal of 1310690919552 is 2559190960131.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 1310690919495 and 1310690919504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113413 + ... + 1623035.

It is an arithmetic number, because the mean of its divisors is an integer number (17322935400).

Almost surely, 2^{1310690919552} is an apocalyptic number.

1310690919552 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 1310690919552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217335731200).

1310690919552 is an abundant number, since it is smaller than the sum of its proper divisors (3123980542848).

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

1310690919552 is a wasteful number, since it uses less digits than its factorization.

1310690919552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509683 (or 1509671 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 51.

The spelling of 1310690919552 in words is "one trillion, three hundred ten billion, six hundred ninety million, nine hundred nineteen thousand, five hundred fifty-two".