1301079913056 has 1920 divisors, whose sum is σ = 5287564541952. Its totient is φ = 303823872000.

The previous prime is 1301079913031. The next prime is 1301079913057. The reversal of 1301079913056 is 6503199701031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301079913057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5834438961 + ... + 5834439183.

Almost surely, 2^{1301079913056} is an apocalyptic number.

1301079913056 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 1301079913056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643782270976).

1301079913056 is an abundant number, since it is smaller than the sum of its proper divisors (3986484628896).

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

1301079913056 is a wasteful number, since it uses less digits than its factorization.

1301079913056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 1301079913056 in words is "one trillion, three hundred one billion, seventy-nine million, nine hundred thirteen thousand, fifty-six".