30131033130000 has 400 divisors, whose sum is σ = 117899396366400. Its totient is φ = 7304492160000.

The previous prime is 30131033129927. The next prime is 30131033130017. The reversal of 30131033130000 is 3133013103.

30131033130000 is a `hidden beast` number, since 3 + 0 + 1 + 31 + 0 + 331 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2102565 + ... + 8042564.

It is an arithmetic number, because the mean of its divisors is an integer number (294748490916).

Almost surely, 2^{30131033130000} is an apocalyptic number.

30131033130000 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 30131033130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58949698183200).

30131033130000 is an abundant number, since it is smaller than the sum of its proper divisors (87768363236400).

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

30131033130000 is a wasteful number, since it uses less digits than its factorization.

30131033130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10145177 (or 10145150 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 30131033130000 its reverse (3133013103), we get a palindrome (30134166143103).

The spelling of 30131033130000 in words is "thirty trillion, one hundred thirty-one billion, thirty-three million, one hundred thirty thousand".