133021302123000 has 256 divisors, whose sum is σ = 431494594352640. Its totient is φ = 34090641024000.

The previous prime is 133021302122981. The next prime is 133021302123001. The reversal of 133021302123000 is 321203120331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133021302123001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170299 + ... + 16311701.

It is an arithmetic number, because the mean of its divisors is an integer number (1685525759190).

Almost surely, 2^{133021302123000} is an apocalyptic number.

133021302123000 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 133021302123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215747297176320).

133021302123000 is an abundant number, since it is smaller than the sum of its proper divisors (298473292229640).

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

133021302123000 is a wasteful number, since it uses less digits than its factorization.

133021302123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16141535 (or 16141521 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133021302123000 its reverse (321203120331), we get a palindrome (133342505243331).

The spelling of 133021302123000 in words is "one hundred thirty-three trillion, twenty-one billion, three hundred two million, one hundred twenty-three thousand".