133323011231004 has 192 divisors, whose sum is σ = 418282757222400. Its totient is φ = 35850324335616.

The previous prime is 133323011230837. The next prime is 133323011231077. The reversal of 133323011231004 is 400132110323331.

133323011231004 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 230 + 112 + 310 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406769062 + ... + 407096690.

It is an arithmetic number, because the mean of its divisors is an integer number (2178556027200).

Almost surely, 2^{133323011231004} is an apocalyptic number.

133323011231004 is a gapful number since it is divisible by the number (14) 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 133323011231004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209141378611200).

133323011231004 is an abundant number, since it is smaller than the sum of its proper divisors (284959745991396).

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

133323011231004 is a wasteful number, since it uses less digits than its factorization.

133323011231004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359329 (or 359321 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133323011231004 its reverse (400132110323331), we get a palindrome (533455121554335).

The spelling of 133323011231004 in words is "one hundred thirty-three trillion, three hundred twenty-three billion, eleven million, two hundred thirty-one thousand, four".