1133133120000 has 600 divisors, whose sum is σ = 4670443679616. Its totient is φ = 258997248000.

The previous prime is 1133133119941. The next prime is 1133133120019. The reversal of 1133133120000 is 213313311.

It is a happy number.

1133133120000 is a `hidden beast` number, since 1 + 1 + 331 + 331 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

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 59 ways as a sum of consecutive naturals, for example, 20131897 + ... + 20188103.

Almost surely, 2^{1133133120000} is an apocalyptic number.

1133133120000 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 1133133120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335221839808).

1133133120000 is an abundant number, since it is smaller than the sum of its proper divisors (3537310559616).

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

1133133120000 is an frugal number, since it uses more digits than its factorization.

1133133120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56258 (or 56224 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1133133120000 its reverse (213313311), we get a palindrome (1133346433311).

The spelling of 1133133120000 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-three million, one hundred twenty thousand".