133121203311312 has 320 divisors, whose sum is σ = 407398115328000. Its totient is φ = 41497107604992.

The previous prime is 133121203311289. The next prime is 133121203311319. The reversal of 133121203311312 is 213113302121331.

133121203311312 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 12 + 0 + 331 + 1 + 312 = 666.

It is a super-2 number, since 2×133121203311312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133121203311319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3369881353 + ... + 3369920855.

It is an arithmetic number, because the mean of its divisors is an integer number (1273119110400).

Almost surely, 2^{133121203311312} is an apocalyptic number.

133121203311312 is a gapful number since it is divisible by the number (12) 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 133121203311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203699057664000).

133121203311312 is an abundant number, since it is smaller than the sum of its proper divisors (274276912016688).

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

133121203311312 is a wasteful number, since it uses less digits than its factorization.

133121203311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44815 (or 44803 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 133121203311312 its reverse (213113302121331), we get a palindrome (346234505432643).

The spelling of 133121203311312 in words is "one hundred thirty-three trillion, one hundred twenty-one billion, two hundred three million, three hundred eleven thousand, three hundred twelve".