1301385007104 has 312 divisors, whose sum is σ = 4346979426720. Its totient is φ = 343220355072.

The previous prime is 1301385007037. The next prime is 1301385007121. The reversal of 1301385007104 is 4017005831031.

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7744327 + ... + 7910585.

Almost surely, 2^{1301385007104} is an apocalyptic number.

1301385007104 is a gapful number since it is divisible by the number (14) 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 1301385007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173489713360).

1301385007104 is an abundant number, since it is smaller than the sum of its proper divisors (3045594419616).

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

1301385007104 is a wasteful number, since it uses less digits than its factorization.

1301385007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166313 (or 166284 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 1301385007104 in words is "one trillion, three hundred one billion, three hundred eighty-five million, seven thousand, one hundred four".