133004014010020 has 24 divisors (see below), whose sum is σ = 279338720278968. Its totient is φ = 53195835916800.

The previous prime is 133004014009943. The next prime is 133004014010027. The reversal of 133004014010020 is 20010410400331.

It can be written as a sum of positive squares in 4 ways, for example, as 14342338488384 + 118661675521636 = 3787128^2 + 10893194^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133004014010020.

It is not an unprimeable number, because it can be changed into a prime (133004014010027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360416421 + ... + 360785260.

It is an arithmetic number, because the mean of its divisors is an integer number (11639113344957).

Almost surely, 2^{133004014010020} is an apocalyptic number.

133004014010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133004014010020 is an abundant number, since it is smaller than the sum of its proper divisors (146334706268948).

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

133004014010020 is a wasteful number, since it uses less digits than its factorization.

133004014010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721210911 (or 721210909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 133004014010020 its reverse (20010410400331), we get a palindrome (153014424410351).

The spelling of 133004014010020 in words is "one hundred thirty-three trillion, four billion, fourteen million, ten thousand, twenty".