133010123421120 has 896 divisors, whose sum is σ = 468148858813440. Its totient is φ = 31728508600320.

The previous prime is 133010123421067. The next prime is 133010123421167. The reversal of 133010123421120 is 21124321010331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 175706899782 + ... + 175706900538.

It is an arithmetic number, because the mean of its divisors is an integer number (522487565640).

Almost surely, 2^{133010123421120} is an apocalyptic number.

133010123421120 is a gapful number since it is divisible by the number (10) 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 133010123421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234074429406720).

133010123421120 is an abundant number, since it is smaller than the sum of its proper divisors (335138735392320).

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

133010123421120 is a wasteful number, since it uses less digits than its factorization.

133010123421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 133010123421120 its reverse (21124321010331), we get a palindrome (154134444431451).

The spelling of 133010123421120 in words is "one hundred thirty-three trillion, ten billion, one hundred twenty-three million, four hundred twenty-one thousand, one hundred twenty".