30201020133120 has 432 divisors, whose sum is σ = 105051025357824. Its totient is φ = 8010648576000.

The previous prime is 30201020133059. The next prime is 30201020133157. The reversal of 30201020133120 is 2133102010203.

30201020133120 is a `hidden beast` number, since 302 + 0 + 10 + 2 + 0 + 1 + 331 + 20 = 666.

30201020133120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30201020133120² (a number of 28 digits) contains 22 as substring.

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 = 30201020133093 and 30201020133102.

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, 1969923855 + ... + 1969939185.

Almost surely, 2^{30201020133120} is an apocalyptic number.

30201020133120 is a gapful number since it is divisible by the number (30) 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 30201020133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52525512678912).

30201020133120 is an abundant number, since it is smaller than the sum of its proper divisors (74850005224704).

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

30201020133120 is a wasteful number, since it uses less digits than its factorization.

30201020133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16260 (or 16243 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30201020133120 its reverse (2133102010203), we get a palindrome (32334122143323).

The spelling of 30201020133120 in words is "thirty trillion, two hundred one billion, twenty million, one hundred thirty-three thousand, one hundred twenty".