1000133022200 has 96 divisors (see below), whose sum is σ = 2504623548000. Its totient is φ = 369214364160.

The previous prime is 1000133022179. The next prime is 1000133022221. The reversal of 1000133022200 is 22203310001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000133022179) and next prime (1000133022221).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16086374 + ... + 16148426.

It is an arithmetic number, because the mean of its divisors is an integer number (26089828625).

Almost surely, 2^{1000133022200} is an apocalyptic number.

1000133022200 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 1000133022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252311774000).

1000133022200 is an abundant number, since it is smaller than the sum of its proper divisors (1504490525800).

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

1000133022200 is a wasteful number, since it uses less digits than its factorization.

1000133022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68281 (or 68272 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1000133022200 its reverse (22203310001), we get a palindrome (1022336332201).

It can be divided in two parts, 100013 and 3022200, that added together give a palindrome (3122213).

The spelling of 1000133022200 in words is "one trillion, one hundred thirty-three million, twenty-two thousand, two hundred".