133213221231000 has 512 divisors, whose sum is σ = 423171433451520. Its totient is φ = 34883177472000.

The previous prime is 133213221230977. The next prime is 133213221231019. The reversal of 133213221231000 is 132122312331.

It is a super-2 number, since 2×133213221231000² (a number of 29 digits) contains 22 as substring.

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, 100386752337 + ... + 100386753663.

It is an arithmetic number, because the mean of its divisors is an integer number (826506705960).

Almost surely, 2^{133213221231000} is an apocalyptic number.

133213221231000 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 133213221231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211585716725760).

133213221231000 is an abundant number, since it is smaller than the sum of its proper divisors (289958212220520).

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

133213221231000 is a wasteful number, since it uses less digits than its factorization.

133213221231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 133213221231000 its reverse (132122312331), we get a palindrome (133345343543331).

The spelling of 133213221231000 in words is "one hundred thirty-three trillion, two hundred thirteen billion, two hundred twenty-one million, two hundred thirty-one thousand".