133331213166024 has 256 divisors, whose sum is σ = 368566036070400. Its totient is φ = 40006438762752.

The previous prime is 133331213165993. The next prime is 133331213166071. The reversal of 133331213166024 is 420661312133331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1082813949 + ... + 1082937075.

It is an arithmetic number, because the mean of its divisors is an integer number (1439711078400).

Almost surely, 2^{133331213166024} 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 133331213166024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184283018035200).

133331213166024 is an abundant number, since it is smaller than the sum of its proper divisors (235234822904376).

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

133331213166024 is a wasteful number, since it uses less digits than its factorization.

133331213166024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123864 (or 123860 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

Adding to 133331213166024 its reverse (420661312133331), we get a palindrome (553992525299355).

The spelling of 133331213166024 in words is "one hundred thirty-three trillion, three hundred thirty-one billion, two hundred thirteen million, one hundred sixty-six thousand, twenty-four".