30301331113120 has 48 divisors (see below), whose sum is σ = 71587254097800. Its totient is φ = 12120471604224.

The previous prime is 30301331113069. The next prime is 30301331113153. The reversal of 30301331113120 is 2131113310303.

It can be written as a sum of positive squares in 4 ways, for example, as 29602348166416 + 698982946704 = 5440804^2 + 836052^2 .

It is a super-2 number, since 2×30301331113120² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30301331113091 and 30301331113100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45130594 + ... + 45797086.

Almost surely, 2^{30301331113120} is an apocalyptic number.

It is an amenable number.

30301331113120 is an abundant number, since it is smaller than the sum of its proper divisors (41285922984680).

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

30301331113120 is a wasteful number, since it uses less digits than its factorization.

30301331113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950657 (or 950649 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 30301331113120 its reverse (2131113310303), we get a palindrome (32432444423423).

The spelling of 30301331113120 in words is "thirty trillion, three hundred one billion, three hundred thirty-one million, one hundred thirteen thousand, one hundred twenty".