133012312100 has 18 divisors (see below), whose sum is σ = 288636717474. Its totient is φ = 53204924800.

The previous prime is 133012312007. The next prime is 133012312117. The reversal of 133012312100 is 1213210331.

It can be written as a sum of positive squares in 3 ways, for example, as 32386321444 + 100625990656 = 179962^2 + 317216^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 665061461 + ... + 665061660.

It is an arithmetic number, because the mean of its divisors is an integer number (16035373193).

Almost surely, 2^133012312100 is an apocalyptic number.

133012312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133012312100 is an abundant number, since it is smaller than the sum of its proper divisors (155624405374).

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

133012312100 is a wasteful number, since it uses less digits than its factorization.

133012312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330123135 (or 1330123128 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 133012312100 its reverse (1213210331), we get a palindrome (134225522431).

The spelling of 133012312100 in words is "one hundred thirty-three billion, twelve million, three hundred twelve thousand, one hundred".