133321131000 has 192 divisors, whose sum is σ = 452518185600. Its totient is φ = 35402976000.

The previous prime is 133321130993. The next prime is 133321131019. The reversal of 133321131000 is 131123331.

It is a happy number.

133321131000 is a `hidden beast` number, since 1 + 33 + 321 + 1 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×133321131000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2120010 + ... + 2181990.

It is an arithmetic number, because the mean of its divisors is an integer number (2356865550).

Almost surely, 2^133321131000 is an apocalyptic number.

133321131000 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 133321131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226259092800).

133321131000 is an abundant number, since it is smaller than the sum of its proper divisors (319197054600).

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

133321131000 is a wasteful number, since it uses less digits than its factorization.

133321131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62247 (or 62230 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133321131000 its reverse (131123331), we get a palindrome (133452254331).

The spelling of 133321131000 in words is "one hundred thirty-three billion, three hundred twenty-one million, one hundred thirty-one thousand".