1306111135640 has 48 divisors (see below), whose sum is σ = 3072077139600. Its totient is φ = 499729469888.

The previous prime is 1306111135619. The next prime is 1306111135699. The reversal of 1306111135640 is 465311116031.

It is a junction number, because it is equal to n+sod(n) for n = 1306111135597 and 1306111135606.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 30841580 + ... + 30883899.

It is an arithmetic number, because the mean of its divisors is an integer number (64001607075).

Almost surely, 2^{1306111135640} is an apocalyptic number.

1306111135640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306111135640 is an abundant number, since it is smaller than the sum of its proper divisors (1765966003960).

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

1306111135640 is a wasteful number, since it uses less digits than its factorization.

1306111135640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61725536 (or 61725509 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 1306111135640 in words is "one trillion, three hundred six billion, one hundred eleven million, one hundred thirty-five thousand, six hundred forty".