1133020100 has 72 divisors (see below), whose sum is σ = 2511646536. Its totient is φ = 443520000.

The previous prime is 1133020099. The next prime is 1133020153. The reversal of 1133020100 is 10203311.

It can be written as a sum of positive squares in 12 ways, for example, as 350363524 + 782656576 = 18718^2 + 27976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1713770 + ... + 1714430.

Almost surely, 2^1133020100 is an apocalyptic number.

1133020100 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 1133020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255823268).

1133020100 is an abundant number, since it is smaller than the sum of its proper divisors (1378626436).

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

1133020100 is a wasteful number, since it uses less digits than its factorization.

1133020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1133020100 is about 33660.3639314848. The cubic root of 1133020100 is about 1042.5075401962.

Adding to 1133020100 its reverse (10203311), we get a palindrome (1143223411).

The spelling of 1133020100 in words is "one billion, one hundred thirty-three million, twenty thousand, one hundred".