133363782100 has 18 divisors (see below), whose sum is σ = 289399407374. Its totient is φ = 53345512800.

The previous prime is 133363782089. The next prime is 133363782119. The reversal of 133363782100 is 1287363331.

It can be written as a sum of positive squares in 3 ways, for example, as 45186855184 + 88176926916 = 212572^2 + 296946^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133363782100.

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 5 ways as a sum of consecutive naturals, for example, 666818811 + ... + 666819010.

Almost surely, 2^133363782100 is an apocalyptic number.

133363782100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133363782100 is an abundant number, since it is smaller than the sum of its proper divisors (156035625274).

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

133363782100 is a wasteful number, since it uses less digits than its factorization.

133363782100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333637835 (or 1333637828 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 133363782100 in words is "one hundred thirty-three billion, three hundred sixty-three million, seven hundred eighty-two thousand, one hundred".