1301139507072 has 256 divisors, whose sum is σ = 3773722233600. Its totient is φ = 395826020352.

The previous prime is 1301139507067. The next prime is 1301139507131. The reversal of 1301139507072 is 2707059311031.

It is a self number, because there is not a number n which added to its sum of digits gives 1301139507072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22873738 + ... + 22930550.

It is an arithmetic number, because the mean of its divisors is an integer number (14741102475).

Almost surely, 2^{1301139507072} is an apocalyptic number.

1301139507072 is a gapful number since it is divisible by the number (12) 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 1301139507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886861116800).

1301139507072 is an abundant number, since it is smaller than the sum of its proper divisors (2472582726528).

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

1301139507072 is a wasteful number, since it uses less digits than its factorization.

1301139507072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56965 (or 56953 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The spelling of 1301139507072 in words is "one trillion, three hundred one billion, one hundred thirty-nine million, five hundred seven thousand, seventy-two".