1301331133312 has 128 divisors (see below), whose sum is σ = 3010055316480. Its totient is φ = 548844595200.

The previous prime is 1301331133309. The next prime is 1301331133343. The reversal of 1301331133312 is 2133311331031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63683737 + ... + 63704167.

It is an arithmetic number, because the mean of its divisors is an integer number (23516057160).

Almost surely, 2^{1301331133312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301331133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505027658240).

1301331133312 is an abundant number, since it is smaller than the sum of its proper divisors (1708724183168).

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

1301331133312 is a wasteful number, since it uses less digits than its factorization.

1301331133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21580 (or 21568 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 1301331133312 its reverse (2133311331031), we get a palindrome (3434642464343).

The spelling of 1301331133312 in words is "one trillion, three hundred one billion, three hundred thirty-one million, one hundred thirty-three thousand, three hundred twelve".