1301153344000 has 320 divisors, whose sum is σ = 3471058150560. Its totient is φ = 484756684800.

The previous prime is 1301153343961. The next prime is 1301153344009. The reversal of 1301153344000 is 4433511031.

It can be written as a sum of positive squares in 16 ways, for example, as 260851261696 + 1040302082304 = 510736^2 + 1019952^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1301153344009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105529836 + ... + 105542164.

Almost surely, 2^{1301153344000} is an apocalyptic number.

1301153344000 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 1301153344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735529075280).

1301153344000 is an abundant number, since it is smaller than the sum of its proper divisors (2169904806560).

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

1301153344000 is an equidigital number, since it uses as much as digits as its factorization.

1301153344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12476 (or 12450 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 1301153344000 its reverse (4433511031), we get a palindrome (1305586855031).

The spelling of 1301153344000 in words is "one trillion, three hundred one billion, one hundred fifty-three million, three hundred forty-four thousand".