1303113121200 has 360 divisors, whose sum is σ = 4995728824320. Its totient is φ = 311906649600.

The previous prime is 1303113121169. The next prime is 1303113121237. The reversal of 1303113121200 is 21213113031.

1303113121200 is a `hidden beast` number, since 1 + 30 + 311 + 3 + 121 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2920129 + ... + 3336671.

It is an arithmetic number, because the mean of its divisors is an integer number (13877024512).

Almost surely, 2^{1303113121200} is an apocalyptic number.

1303113121200 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 1303113121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497864412160).

1303113121200 is an abundant number, since it is smaller than the sum of its proper divisors (3692615703120).

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

1303113121200 is a wasteful number, since it uses less digits than its factorization.

1303113121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416657 (or 416643 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1303113121200 its reverse (21213113031), we get a palindrome (1324326234231).

The spelling of 1303113121200 in words is "one trillion, three hundred three billion, one hundred thirteen million, one hundred twenty-one thousand, two hundred".