30132343113300 has 288 divisors, whose sum is σ = 97163541135360. Its totient is φ = 8010952560000.

The previous prime is 30132343113289. The next prime is 30132343113329. The reversal of 30132343113300 is 331134323103.

30132343113300 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 2 + 343 + 1 + 13 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3361854619 + ... + 3361863581.

It is an arithmetic number, because the mean of its divisors is an integer number (337373406720).

Almost surely, 2^{30132343113300} is an apocalyptic number.

30132343113300 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 30132343113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48581770567680).

30132343113300 is an abundant number, since it is smaller than the sum of its proper divisors (67031198022060).

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

30132343113300 is a wasteful number, since it uses less digits than its factorization.

30132343113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12620 (or 12607 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 30132343113300 its reverse (331134323103), we get a palindrome (30463477436403).

The spelling of 30132343113300 in words is "thirty trillion, one hundred thirty-two billion, three hundred forty-three million, one hundred thirteen thousand, three hundred".