1306305232140 has 96 divisors (see below), whose sum is σ = 3674863846080. Its totient is φ = 346710122496.

The previous prime is 1306305232123. The next prime is 1306305232151. The reversal of 1306305232140 is 412325036031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1306305232098 and 1306305232107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45506272 + ... + 45534968.

It is an arithmetic number, because the mean of its divisors is an integer number (38279831730).

Almost surely, 2^{1306305232140} is an apocalyptic number.

1306305232140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306305232140 is an abundant number, since it is smaller than the sum of its proper divisors (2368558613940).

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

1306305232140 is a wasteful number, since it uses less digits than its factorization.

1306305232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32251 (or 32249 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 1306305232140 in words is "one trillion, three hundred six billion, three hundred five million, two hundred thirty-two thousand, one hundred forty".