5034311301300 has 288 divisors, whose sum is σ = 16243960320000. Its totient is φ = 1196314122240.

The previous prime is 5034311301293. The next prime is 5034311301307. The reversal of 5034311301300 is 31031134305.

It is an interprime number because it is at equal distance from previous prime (5034311301293) and next prime (5034311301307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5034311301307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176634451 + ... + 176662949.

It is an arithmetic number, because the mean of its divisors is an integer number (56402640000).

Almost surely, 2^{5034311301300} is an apocalyptic number.

5034311301300 is a gapful number since it is divisible by the number (50) 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 5034311301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121980160000).

5034311301300 is an abundant number, since it is smaller than the sum of its proper divisors (11209649018700).

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

5034311301300 is a wasteful number, since it uses less digits than its factorization.

5034311301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30375 (or 30368 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 5034311301300 its reverse (31031134305), we get a palindrome (5065342435605).

The spelling of 5034311301300 in words is "five trillion, thirty-four billion, three hundred eleven million, three hundred one thousand, three hundred".