313051222551321 has 20 divisors (see below), whose sum is σ = 483770088492900. Its totient is φ = 201504235203936.

The previous prime is 313051222551317. The next prime is 313051222551359. The reversal of 313051222551321 is 123155222150313.

313051222551321 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 51 + 2 + 22 + 551 + 32 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147048097542921 + 166003125008400 = 12126339^2 + 12884220^2 .

It is not a de Polignac number, because 313051222551321 - 2² = 313051222551317 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313051222551391) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66634996066 + ... + 66635000763.

It is an arithmetic number, because the mean of its divisors is an integer number (24188504424645).

Almost surely, 2^{313051222551321} is an apocalyptic number.

It is an amenable number.

313051222551321 is a deficient number, since it is larger than the sum of its proper divisors (170718865941579).

313051222551321 is a wasteful number, since it uses less digits than its factorization.

313051222551321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133269996870 (or 133269996861 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 313051222551321 in words is "three hundred thirteen trillion, fifty-one billion, two hundred twenty-two million, five hundred fifty-one thousand, three hundred twenty-one".