133131133004020 has 48 divisors (see below), whose sum is σ = 283728334751568. Its totient is φ = 52463077678080.

The previous prime is 133131133003991. The next prime is 133131133004021. The reversal of 133131133004020 is 20400331131331.

It can be written as a sum of positive squares in 8 ways, for example, as 2238267335056 + 130892865668964 = 1496084^2 + 11440842^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133131133004021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50706871 + ... + 53267710.

It is an arithmetic number, because the mean of its divisors is an integer number (5911006973991).

Almost surely, 2^{133131133004020} is an apocalyptic number.

133131133004020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133131133004020 is an abundant number, since it is smaller than the sum of its proper divisors (150597201747548).

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

133131133004020 is a wasteful number, since it uses less digits than its factorization.

133131133004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103975540 (or 103975538 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 133131133004020 its reverse (20400331131331), we get a palindrome (153531464135351).

The spelling of 133131133004020 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, one hundred thirty-three million, four thousand, twenty".