133034321301232 has 320 divisors, whose sum is σ = 285125832028800. Its totient is φ = 59764303872000.

The previous prime is 133034321301227. The next prime is 133034321301251. The reversal of 133034321301232 is 232103123430331.

It is a junction number, because it is equal to n+sod(n) for n = 133034321301194 and 133034321301203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206896300303 + ... + 206896300945.

It is an arithmetic number, because the mean of its divisors is an integer number (891018225090).

Almost surely, 2^{133034321301232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133034321301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142562916014400).

133034321301232 is an abundant number, since it is smaller than the sum of its proper divisors (152091510727568).

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

133034321301232 is a wasteful number, since it uses less digits than its factorization.

133034321301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 133034321301232 its reverse (232103123430331), we get a palindrome (365137444731563).

The spelling of 133034321301232 in words is "one hundred thirty-three trillion, thirty-four billion, three hundred twenty-one million, three hundred one thousand, two hundred thirty-two".