1033134120200 has 288 divisors, whose sum is σ = 3060169761600. Its totient is φ = 321425717760.

The previous prime is 1033134120199. The next prime is 1033134120241. The reversal of 1033134120200 is 20214313301.

It is a super-2 number, since 2×1033134120200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 71 ways as a sum of consecutive naturals, for example, 7447877 + ... + 7585323.

It is an arithmetic number, because the mean of its divisors is an integer number (10625589450).

Almost surely, 2^{1033134120200} is an apocalyptic number.

1033134120200 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 1033134120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530084880800).

1033134120200 is an abundant number, since it is smaller than the sum of its proper divisors (2027035641400).

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

1033134120200 is a wasteful number, since it uses less digits than its factorization.

1033134120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137549 (or 137533 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1033134120200 its reverse (20214313301), we get a palindrome (1053348433501).

The spelling of 1033134120200 in words is "one trillion, thirty-three billion, one hundred thirty-four million, one hundred twenty thousand, two hundred".