3034042131300 has 144 divisors (see below), whose sum is σ = 8969425920000. Its totient is φ = 791496563840.

The previous prime is 3034042131287. The next prime is 3034042131397. The reversal of 3034042131300 is 31312404303.

It is a super-3 number, since 3×3034042131300³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31069951 + ... + 31167449.

It is an arithmetic number, because the mean of its divisors is an integer number (62287680000).

Almost surely, 2^{3034042131300} is an apocalyptic number.

3034042131300 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 3034042131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484712960000).

3034042131300 is an abundant number, since it is smaller than the sum of its proper divisors (5935383788700).

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

3034042131300 is a wasteful number, since it uses less digits than its factorization.

3034042131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99770 (or 99763 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3034042131300 its reverse (31312404303), we get a palindrome (3065354535603).

The spelling of 3034042131300 in words is "three trillion, thirty-four billion, forty-two million, one hundred thirty-one thousand, three hundred".