133112131101020 has 48 divisors (see below), whose sum is σ = 279893329547328. Its totient is φ = 53176693140480.

The previous prime is 133112131100941. The next prime is 133112131101049. The reversal of 133112131101020 is 20101131211331.

133112131101020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133112131100983 and 133112131101001.

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 15 ways as a sum of consecutive naturals, for example, 830090969 + ... + 830251311.

It is an arithmetic number, because the mean of its divisors is an integer number (5831111032236).

Almost surely, 2^{133112131101020} is an apocalyptic number.

133112131101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133112131101020 is an abundant number, since it is smaller than the sum of its proper divisors (146781198446308).

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

133112131101020 is a wasteful number, since it uses less digits than its factorization.

133112131101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213230 (or 213228 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 133112131101020 its reverse (20101131211331), we get a palindrome (153213262312351).

The spelling of 133112131101020 in words is "one hundred thirty-three trillion, one hundred twelve billion, one hundred thirty-one million, one hundred one thousand, twenty".