30101032131300 has 576 divisors, whose sum is σ = 110753998790400. Its totient is φ = 6947671449600.

The previous prime is 30101032131271. The next prime is 30101032131311. The reversal of 30101032131300 is 313123010103.

It is a happy number.

30101032131300 is a `hidden beast` number, since 3 + 0 + 1 + 0 + 10 + 321 + 31 + 300 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160418535 + ... + 160606065.

It is an arithmetic number, because the mean of its divisors is an integer number (192281247900).

Almost surely, 2^{30101032131300} is an apocalyptic number.

30101032131300 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 30101032131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55376999395200).

30101032131300 is an abundant number, since it is smaller than the sum of its proper divisors (80652966659100).

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

30101032131300 is a wasteful number, since it uses less digits than its factorization.

30101032131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187853 (or 187840 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 30101032131300 its reverse (313123010103), we get a palindrome (30414155141403).

The spelling of 30101032131300 in words is "thirty trillion, one hundred one billion, thirty-two million, one hundred thirty-one thousand, three hundred".