133131020 has 48 divisors (see below), whose sum is σ = 305883648. Its totient is φ = 48269760.

The previous prime is 133131017. The next prime is 133131067. The reversal of 133131020 is 20131331.

It is a junction number, because it is equal to n+sod(n) for n = 133130986 and 133131004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101207 + ... + 102513.

It is an arithmetic number, because the mean of its divisors is an integer number (6372576).

Almost surely, 2^133131020 is an apocalyptic number.

133131020 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 133131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152941824).

133131020 is an abundant number, since it is smaller than the sum of its proper divisors (172752628).

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

133131020 is a wasteful number, since it uses less digits than its factorization.

133131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 133131020 is about 11538.2416338019. The cubic root of 133131020 is about 510.6144331028.

Adding to 133131020 its reverse (20131331), we get a palindrome (153262351).

The spelling of 133131020 in words is "one hundred thirty-three million, one hundred thirty-one thousand, twenty".