20133133020 has 576 divisors, whose sum is σ = 86327055360. Its totient is φ = 3657830400.

The previous prime is 20133132989. The next prime is 20133133049. The reversal of 20133133020 is 2033133102.

20133133020 = T₃₃₉₀₁ + T₃₃₉₀₂ + ... + T₃₃₉₃₅.

20133133020 is a `hidden beast` number, since 2 + 0 + 1 + 331 + 330 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20133132984 and 20133133002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3420480 + ... + 3426360.

It is an arithmetic number, because the mean of its divisors is an integer number (149873360).

Almost surely, 2^20133133020 is an apocalyptic number.

20133133020 is a gapful number since it is divisible by the number (20) 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 20133133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43163527680).

20133133020 is an abundant number, since it is smaller than the sum of its proper divisors (66193922340).

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

20133133020 is a wasteful number, since it uses less digits than its factorization.

20133133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5946 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20133133020 its reverse (2033133102), we get a palindrome (22166266122).

The spelling of 20133133020 in words is "twenty billion, one hundred thirty-three million, one hundred thirty-three thousand, twenty".