133332100020 has 144 divisors (see below), whose sum is σ = 462494043648. Its totient is φ = 30457704960.

The previous prime is 133332100003. The next prime is 133332100037. The reversal of 133332100020 is 20001233331.

It is an interprime number because it is at equal distance from previous prime (133332100003) and next prime (133332100037).

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 = 133332099966 and 133332100002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2137717 + ... + 2199203.

It is an arithmetic number, because the mean of its divisors is an integer number (3211764192).

Almost surely, 2^133332100020 is an apocalyptic number.

133332100020 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 133332100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231247021824).

133332100020 is an abundant number, since it is smaller than the sum of its proper divisors (329161943628).

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

133332100020 is a wasteful number, since it uses less digits than its factorization.

133332100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63230 (or 63225 counting only the distinct ones).

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

Adding to 133332100020 its reverse (20001233331), we get a palindrome (153333333351).

The spelling of 133332100020 in words is "one hundred thirty-three billion, three hundred thirty-two million, one hundred thousand, twenty".