1312835921280 has 448 divisors, whose sum is σ = 5067587211120. Its totient is φ = 323158118400.

The previous prime is 1312835921279. The next prime is 1312835921281. The reversal of 1312835921280 is 821295382131.

1312835921280 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 8 + 359 + 212 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1312835921279) and next prime (1312835921281).

It is a super-3 number, since 3×1312835921280³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312835921281) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5957055 + ... + 6173505.

Almost surely, 2^{1312835921280} is an apocalyptic number.

1312835921280 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 1312835921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533793605560).

1312835921280 is an abundant number, since it is smaller than the sum of its proper divisors (3754751289840).

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

1312835921280 is an equidigital number, since it uses as much as digits as its factorization.

1312835921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216501 (or 216474 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1312835921280 in words is "one trillion, three hundred twelve billion, eight hundred thirty-five million, nine hundred twenty-one thousand, two hundred eighty".