1306511334128 has 160 divisors (see below), whose sum is σ = 3445318152192. Its totient is φ = 463437158400.

The previous prime is 1306511334127. The next prime is 1306511334229. The reversal of 1306511334128 is 8214331156031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1306511334091 and 1306511334100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306511334127) 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 31 ways as a sum of consecutive naturals, for example, 610433 + ... + 1727903.

Almost surely, 2^{1306511334128} 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 1306511334128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722659076096).

1306511334128 is an abundant number, since it is smaller than the sum of its proper divisors (2138806818064).

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

1306511334128 is a wasteful number, since it uses less digits than its factorization.

1306511334128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117583 (or 1117577 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 1306511334128 in words is "one trillion, three hundred six billion, five hundred eleven million, three hundred thirty-four thousand, one hundred twenty-eight".