133321111434 has 256 divisors, whose sum is σ = 360434073600. Its totient is φ = 35719833600.

The previous prime is 133321111411. The next prime is 133321111537. The reversal of 133321111434 is 434111123331.

133321111434 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 211 + 11 + 434 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133321111398 and 133321111407.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143509882 + ... + 143510810.

It is an arithmetic number, because the mean of its divisors is an integer number (1407945600).

Almost surely, 2^133321111434 is an apocalyptic number.

133321111434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133321111434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180217036800).

133321111434 is an abundant number, since it is smaller than the sum of its proper divisors (227112962166).

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

133321111434 is a wasteful number, since it uses less digits than its factorization.

133321111434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1340 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 133321111434 its reverse (434111123331), we get a palindrome (567432234765).

The spelling of 133321111434 in words is "one hundred thirty-three billion, three hundred twenty-one million, one hundred eleven thousand, four hundred thirty-four".