133202121312 has 48 divisors (see below), whose sum is σ = 376552154160. Its totient is φ = 40985267712.

The previous prime is 133202121301. The next prime is 133202121319. The reversal of 133202121312 is 213121202331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133202121319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 53364987 + ... + 53367482.

It is an arithmetic number, because the mean of its divisors is an integer number (7844836545).

Almost surely, 2^133202121312 is an apocalyptic number.

133202121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133202121312 is an abundant number, since it is smaller than the sum of its proper divisors (243350032848).

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

133202121312 is a wasteful number, since it uses less digits than its factorization.

133202121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106732495 (or 106732487 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133202121312 its reverse (213121202331), we get a palindrome (346323323643).

The spelling of 133202121312 in words is "one hundred thirty-three billion, two hundred two million, one hundred twenty-one thousand, three hundred twelve".