1300034124340 has 144 divisors (see below), whose sum is σ = 3193135758288. Its totient is φ = 443299239936.

The previous prime is 1300034124317. The next prime is 1300034124343. The reversal of 1300034124340 is 434214300031.

It can be written as a sum of positive squares in 8 ways, for example, as 150052417956 + 1149981706384 = 387366^2 + 1072372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300034124343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141967042 + ... + 141976198.

It is an arithmetic number, because the mean of its divisors is an integer number (22174553877).

Almost surely, 2^{1300034124340} is an apocalyptic number.

1300034124340 is a gapful number since it is divisible by the number (10) 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 1300034124340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596567879144).

1300034124340 is an abundant number, since it is smaller than the sum of its proper divisors (1893101633948).

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

1300034124340 is a wasteful number, since it uses less digits than its factorization.

1300034124340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9954 (or 9945 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1300034124340 its reverse (434214300031), we get a palindrome (1734248424371).

The spelling of 1300034124340 in words is "one trillion, three hundred billion, thirty-four million, one hundred twenty-four thousand, three hundred forty".