1101233133000 has 1536 divisors, whose sum is σ = 5027809812480. Its totient is φ = 209952000000.

The previous prime is 1101233132983. The next prime is 1101233133017. The reversal of 1101233133000 is 3313321011.

It is a happy number.

1101233133000 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 331 + 330 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1101233132983) and next prime (1101233133017).

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 383 ways as a sum of consecutive naturals, for example, 2261258757 + ... + 2261259243.

It is an arithmetic number, because the mean of its divisors is an integer number (3273313680).

Almost surely, 2^{1101233133000} is an apocalyptic number.

1101233133000 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 1101233133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513904906240).

1101233133000 is an abundant number, since it is smaller than the sum of its proper divisors (3926576679480).

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

1101233133000 is a wasteful number, since it uses less digits than its factorization.

1101233133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 779 counting only the distinct ones).

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

Adding to 1101233133000 its reverse (3313321011), we get a palindrome (1104546454011).

The spelling of 1101233133000 in words is "one trillion, one hundred one billion, two hundred thirty-three million, one hundred thirty-three thousand".