30000131113120 has 192 divisors, whose sum is σ = 81908400946176. Its totient is φ = 10170715852800.

The previous prime is 30000131113103. The next prime is 30000131113123. The reversal of 30000131113120 is 2131113100003.

It is a super-2 number, since 2×30000131113120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30000131113094 and 30000131113103.

It is not an unprimeable number, because it can be changed into a prime (30000131113123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87270217 + ... + 87613303.

It is an arithmetic number, because the mean of its divisors is an integer number (426606254928).

Almost surely, 2^{30000131113120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30000131113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40954200473088).

30000131113120 is an abundant number, since it is smaller than the sum of its proper divisors (51908269833056).

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

30000131113120 is a wasteful number, since it uses less digits than its factorization.

30000131113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343983 (or 343975 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 30000131113120 its reverse (2131113100003), we get a palindrome (32131244213123).

The spelling of 30000131113120 in words is "thirty trillion, one hundred thirty-one million, one hundred thirteen thousand, one hundred twenty".