314120293001 has 8 divisors (see below), whose sum is σ = 323641781064. Its totient is φ = 304687377280.

The previous prime is 314120292973. The next prime is 314120293007. The reversal of 314120293001 is 100392021413.

It can be written as a sum of positive squares in 4 ways, for example, as 13488499600 + 300631793401 = 116140^2 + 548299^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314120293001 - 2²² = 314116098697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (314120293007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22135886 + ... + 22150071.

It is an arithmetic number, because the mean of its divisors is an integer number (40455222633).

Almost surely, 2^314120293001 is an apocalyptic number.

It is an amenable number.

314120293001 is a deficient number, since it is larger than the sum of its proper divisors (9521488063).

314120293001 is a wasteful number, since it uses less digits than its factorization.

314120293001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44286171.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 314120293001 in words is "three hundred fourteen billion, one hundred twenty million, two hundred ninety-three thousand, one".