133311310123000 has 128 divisors (see below), whose sum is σ = 312230370816000. Its totient is φ = 53276357059200.

The previous prime is 133311310122961. The next prime is 133311310123021. The reversal of 133311310123000 is 321013113331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5989085871 + ... + 5989108129.

It is an arithmetic number, because the mean of its divisors is an integer number (2439299772000).

Almost surely, 2^{133311310123000} is an apocalyptic number.

133311310123000 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 133311310123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156115185408000).

133311310123000 is an abundant number, since it is smaller than the sum of its proper divisors (178919060693000).

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

133311310123000 is a wasteful number, since it uses less digits than its factorization.

133311310123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27422 (or 27408 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 133311310123000 its reverse (321013113331), we get a palindrome (133632323236331).

The spelling of 133311310123000 in words is "one hundred thirty-three trillion, three hundred eleven billion, three hundred ten million, one hundred twenty-three thousand".