133303113020 has 288 divisors, whose sum is σ = 364608319488. Its totient is φ = 40030848000.

The previous prime is 133303113019. The next prime is 133303113079. The reversal of 133303113020 is 20311303331.

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 = 133303112983 and 133303113001.

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 95 ways as a sum of consecutive naturals, for example, 164368415 + ... + 164369225.

Almost surely, 2^133303113020 is an apocalyptic number.

133303113020 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 133303113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182304159744).

133303113020 is an abundant number, since it is smaller than the sum of its proper divisors (231305206468).

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

133303113020 is a wasteful number, since it uses less digits than its factorization.

133303113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 133303113020 its reverse (20311303331), we get a palindrome (153614416351).

It can be divided in two parts, 13330311 and 3020, that added together give a palindrome (13333331).

The spelling of 133303113020 in words is "one hundred thirty-three billion, three hundred three million, one hundred thirteen thousand, twenty".