1330133121144 has 256 divisors, whose sum is σ = 3914640576000. Its totient is φ = 417312000000.

The previous prime is 1330133121143. The next prime is 1330133121193. The reversal of 1330133121144 is 4411213310331.

1330133121144 is a `hidden beast` number, since 1 + 3 + 301 + 3 + 312 + 1 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330133121143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474876544 + ... + 474879344.

It is an arithmetic number, because the mean of its divisors is an integer number (15291564750).

Almost surely, 2^{1330133121144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330133121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957320288000).

1330133121144 is an abundant number, since it is smaller than the sum of its proper divisors (2584507454856).

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

1330133121144 is a wasteful number, since it uses less digits than its factorization.

1330133121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1330133121144 its reverse (4411213310331), we get a palindrome (5741346431475).

The spelling of 1330133121144 in words is "one trillion, three hundred thirty billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred forty-four".