1302133123200 has 768 divisors, whose sum is σ = 5298688362240. Its totient is φ = 273693081600.

The previous prime is 1302133123183. The next prime is 1302133123201. The reversal of 1302133123200 is 23213312031.

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

It is not an unprimeable number, because it can be changed into a prime (1302133123201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241984510 + ... + 241989890.

It is an arithmetic number, because the mean of its divisors is an integer number (6899333805).

Almost surely, 2^{1302133123200} is an apocalyptic number.

1302133123200 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 1302133123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649344181120).

1302133123200 is an abundant number, since it is smaller than the sum of its proper divisors (3996555239040).

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

1302133123200 is a wasteful number, since it uses less digits than its factorization.

1302133123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1302133123200 its reverse (23213312031), we get a palindrome (1325346435231).

The spelling of 1302133123200 in words is "one trillion, three hundred two billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred".