130333033300020 has 384 divisors, whose sum is σ = 404856286248960. Its totient is φ = 31179379714560.

The previous prime is 130333033299983. The next prime is 130333033300027. The reversal of 130333033300020 is 20003330333031.

It is a happy number.

It is a super-2 number, since 2×130333033300020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130333033300027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13316949567 + ... + 13316959353.

It is an arithmetic number, because the mean of its divisors is an integer number (1054313245440).

Almost surely, 2^{130333033300020} is an apocalyptic number.

130333033300020 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 130333033300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202428143124480).

130333033300020 is an abundant number, since it is smaller than the sum of its proper divisors (274523252948940).

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

130333033300020 is a wasteful number, since it uses less digits than its factorization.

130333033300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14875 (or 14873 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 130333033300020 its reverse (20003330333031), we get a palindrome (150336363633051).

The spelling of 130333033300020 in words is "one hundred thirty trillion, three hundred thirty-three billion, thirty-three million, three hundred thousand, twenty".