1163133106000 has 80 divisors (see below), whose sum is σ = 2819170186560. Its totient is φ = 464142518400.

The previous prime is 1163133105991. The next prime is 1163133106039. The reversal of 1163133106000 is 6013313611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 144007 + ... + 1531993.

It is an arithmetic number, because the mean of its divisors is an integer number (35239627332).

Almost surely, 2^{1163133106000} is an apocalyptic number.

1163133106000 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 1163133106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409585093280).

1163133106000 is an abundant number, since it is smaller than the sum of its proper divisors (1656037080560).

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

1163133106000 is a wasteful number, since it uses less digits than its factorization.

1163133106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388429 (or 1388413 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 1163133106000 its reverse (6013313611), we get a palindrome (1169146419611).

The spelling of 1163133106000 in words is "one trillion, one hundred sixty-three billion, one hundred thirty-three million, one hundred six thousand".