30201311323200 has 336 divisors, whose sum is σ = 99518926631040. Its totient is φ = 8018491392000.

The previous prime is 30201311323151. The next prime is 30201311323213. The reversal of 30201311323200 is 232311310203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2222148405 + ... + 2222161995.

It is an arithmetic number, because the mean of its divisors is an integer number (296187281640).

Almost surely, 2^{30201311323200} is an apocalyptic number.

30201311323200 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 30201311323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49759463315520).

30201311323200 is an abundant number, since it is smaller than the sum of its proper divisors (69317615307840).

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

30201311323200 is a wasteful number, since it uses less digits than its factorization.

30201311323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15606 (or 15591 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30201311323200 its reverse (232311310203), we get a palindrome (30433622633403).

The spelling of 30201311323200 in words is "thirty trillion, two hundred one billion, three hundred eleven million, three hundred twenty-three thousand, two hundred".