1301001033120 has 192 divisors, whose sum is σ = 4138472580480. Its totient is φ = 343523524608.

The previous prime is 1301001033103. The next prime is 1301001033161. The reversal of 1301001033120 is 213301001031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1301001033120.

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, 133171596 + ... + 133181364.

It is an arithmetic number, because the mean of its divisors is an integer number (21554544690).

Almost surely, 2^{1301001033120} is an apocalyptic number.

1301001033120 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 1301001033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069236290240).

1301001033120 is an abundant number, since it is smaller than the sum of its proper divisors (2837471547360).

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

1301001033120 is a wasteful number, since it uses less digits than its factorization.

1301001033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12487 (or 12479 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1301001033120 its reverse (213301001031), we get a palindrome (1514302034151).

The spelling of 1301001033120 in words is "one trillion, three hundred one billion, one million, thirty-three thousand, one hundred twenty".