301010000201300 has 288 divisors, whose sum is σ = 740202288021504. Its totient is φ = 105415611840000.

The previous prime is 301010000201257. The next prime is 301010000201311. The reversal of 301010000201300 is 3102000010103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7332565775 + ... + 7332606825.

It is an arithmetic number, because the mean of its divisors is an integer number (2570146833408).

Almost surely, 2^{301010000201300} 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 301010000201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370101144010752).

301010000201300 is an abundant number, since it is smaller than the sum of its proper divisors (439192287820204).

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

301010000201300 is a wasteful number, since it uses less digits than its factorization.

301010000201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43159 (or 43152 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 301010000201300 its reverse (3102000010103), we get a palindrome (304112000211403).

The spelling of 301010000201300 in words is "three hundred one trillion, ten billion, two hundred one thousand, three hundred".