1313002068480 has 800 divisors, whose sum is σ = 4821666715008. Its totient is φ = 341397504000.

The previous prime is 1313002068479. The next prime is 1313002068491. The reversal of 1313002068480 is 848602003131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1486978119 + ... + 1486979001.

Almost surely, 2^{1313002068480} is an apocalyptic number.

1313002068480 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 1313002068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410833357504).

1313002068480 is an abundant number, since it is smaller than the sum of its proper divisors (3508664646528).

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

1313002068480 is an equidigital number, since it uses as much as digits as its factorization.

1313002068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1313002068480 in words is "one trillion, three hundred thirteen billion, two million, sixty-eight thousand, four hundred eighty".