1301103552000 has 640 divisors, whose sum is σ = 5017957401600. Its totient is φ = 292936089600.

The previous prime is 1301103551963. The next prime is 1301103552041. The reversal of 1301103552000 is 2553011031.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 90040776 + ... + 90055224.

It is an arithmetic number, because the mean of its divisors is an integer number (7840558440).

Almost surely, 2^{1301103552000} is an apocalyptic number.

1301103552000 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 1301103552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508978700800).

1301103552000 is an abundant number, since it is smaller than the sum of its proper divisors (3716853849600).

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

1301103552000 is an equidigital number, since it uses as much as digits as its factorization.

1301103552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14559 (or 14533 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 1301103552000 its reverse (2553011031), we get a palindrome (1303656563031).

The spelling of 1301103552000 in words is "one trillion, three hundred one billion, one hundred three million, five hundred fifty-two thousand".