1313427770928 has 240 divisors, whose sum is σ = 4532005558080. Its totient is φ = 345787785216.

The previous prime is 1313427770927. The next prime is 1313427770929. The reversal of 1313427770928 is 8290777243131.

It is an interprime number because it is at equal distance from previous prime (1313427770927) and next prime (1313427770929).

It is not an unprimeable number, because it can be changed into a prime (1313427770927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7368100 + ... + 7544252.

It is an arithmetic number, because the mean of its divisors is an integer number (18883356492).

Almost surely, 2^{1313427770928} is an apocalyptic number.

1313427770928 is a gapful number since it is divisible by the number (18) 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 1313427770928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266002779040).

1313427770928 is an abundant number, since it is smaller than the sum of its proper divisors (3218577787152).

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

1313427770928 is a wasteful number, since it uses less digits than its factorization.

1313427770928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176756 (or 176747 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 1313427770928 in words is "one trillion, three hundred thirteen billion, four hundred twenty-seven million, seven hundred seventy thousand, nine hundred twenty-eight".