133203120231000 has 512 divisors, whose sum is σ = 432961737062400. Its totient is φ = 34070676480000.

The previous prime is 133203120230981. The next prime is 133203120231011. The reversal of 133203120231000 is 132021302331.

It is a super-2 number, since 2×133203120231000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1760953180 + ... + 1761028820.

It is an arithmetic number, because the mean of its divisors is an integer number (845628392700).

Almost surely, 2^{133203120231000} is an apocalyptic number.

133203120231000 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 133203120231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216480868531200).

133203120231000 is an abundant number, since it is smaller than the sum of its proper divisors (299758616831400).

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

133203120231000 is a wasteful number, since it uses less digits than its factorization.

133203120231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75948 (or 75934 counting only the distinct ones).

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

Adding to 133203120231000 its reverse (132021302331), we get a palindrome (133335141533331).

The spelling of 133203120231000 in words is "one hundred thirty-three trillion, two hundred three billion, one hundred twenty million, two hundred thirty-one thousand".