133023101312000 has 176 divisors, whose sum is σ = 333154919174688. Its totient is φ = 53002187571200.

The previous prime is 133023101311987. The next prime is 133023101312009. The reversal of 133023101312000 is 213101320331.

It is a super-2 number, since 2×133023101312000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133023101312009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30874127 + ... + 34917873.

Almost surely, 2^{133023101312000} is an apocalyptic number.

133023101312000 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 133023101312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166577459587344).

133023101312000 is an abundant number, since it is smaller than the sum of its proper divisors (200131817862688).

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

133023101312000 is an equidigital number, since it uses as much as digits as its factorization.

133023101312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044039 (or 4044011 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 133023101312000 its reverse (213101320331), we get a palindrome (133236202632331).

The spelling of 133023101312000 in words is "one hundred thirty-three trillion, twenty-three billion, one hundred one million, three hundred twelve thousand".