133103313331032 has 256 divisors, whose sum is σ = 378085484851200. Its totient is φ = 38678230080000.

The previous prime is 133103313330937. The next prime is 133103313331039. The reversal of 133103313331032 is 230133313301331.

It is a super-2 number, since 2×133103313331032² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133103313331039) 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, 10093518343 + ... + 10093531529.

It is an arithmetic number, because the mean of its divisors is an integer number (1476896425200).

Almost surely, 2^{133103313331032} is an apocalyptic number.

133103313331032 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 133103313331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189042742425600).

133103313331032 is an abundant number, since it is smaller than the sum of its proper divisors (244982171520168).

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

133103313331032 is a wasteful number, since it uses less digits than its factorization.

133103313331032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22118 (or 22114 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 30.

Adding to 133103313331032 its reverse (230133313301331), we get a palindrome (363236626632363).

The spelling of 133103313331032 in words is "one hundred thirty-three trillion, one hundred three billion, three hundred thirteen million, three hundred thirty-one thousand, thirty-two".