30201312133020 has 192 divisors, whose sum is σ = 96842157189120. Its totient is φ = 6889028011008.

The previous prime is 30201312133007. The next prime is 30201312133043. The reversal of 30201312133020 is 2033121310203.

It is a super-2 number, since 2×30201312133020² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 562203202 + ... + 562256918.

It is an arithmetic number, because the mean of its divisors is an integer number (504386235360).

Almost surely, 2^{30201312133020} is an apocalyptic number.

30201312133020 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 30201312133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48421078594560).

30201312133020 is an abundant number, since it is smaller than the sum of its proper divisors (66640845056100).

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

30201312133020 is a wasteful number, since it uses less digits than its factorization.

30201312133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56452 (or 56450 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30201312133020 its reverse (2033121310203), we get a palindrome (32234433443223).

The spelling of 30201312133020 in words is "thirty trillion, two hundred one billion, three hundred twelve million, one hundred thirty-three thousand, twenty".