1306123335140 has 48 divisors (see below), whose sum is σ = 3127603942512. Its totient is φ = 453892632576.

The previous prime is 1306123335131. The next prime is 1306123335229. The reversal of 1306123335140 is 415333216031.

It can be written as a sum of positive squares in 8 ways, for example, as 169882460224 + 1136240874916 = 412168^2 + 1065946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1306123335097 and 1306123335106.

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 15 ways as a sum of consecutive naturals, for example, 147747089 + ... + 147755928.

It is an arithmetic number, because the mean of its divisors is an integer number (65158415469).

Almost surely, 2^{1306123335140} is an apocalyptic number.

1306123335140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306123335140 is an abundant number, since it is smaller than the sum of its proper divisors (1821480607372).

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

1306123335140 is a wasteful number, since it uses less digits than its factorization.

1306123335140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295503056 (or 295503054 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 1306123335140 in words is "one trillion, three hundred six billion, one hundred twenty-three million, three hundred thirty-five thousand, one hundred forty".