1020133200 has 120 divisors (see below), whose sum is σ = 3275057248. Its totient is φ = 271434240.

The previous prime is 1020133129. The next prime is 1020133217. The reversal of 1020133200 is 23310201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 907839 + ... + 908961.

Almost surely, 2^1020133200 is an apocalyptic number.

1020133200 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 1020133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637528624).

1020133200 is an abundant number, since it is smaller than the sum of its proper divisors (2254924048).

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

1020133200 is a wasteful number, since it uses less digits than its factorization.

1020133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1020133200 is about 31939.5241041566. The cubic root of 1020133200 is about 1006.6665253473. Note that the first 3 decimals are identical.

Adding to 1020133200 its reverse (23310201), we get a palindrome (1043443401).

The spelling of 1020133200 in words is "one billion, twenty million, one hundred thirty-three thousand, two hundred".