314003131332401 has 6 divisors (see below), whose sum is σ = 365268948692850. Its totient is φ = 269145541142016.

The previous prime is 314003131332377. The next prime is 314003131332409. The reversal of 314003131332401 is 104233131300413.

It can be written as a sum of positive squares in only one way, i.e., 263150201829025 + 50852929503376 = 16221905^2 + 7131124^2 .

It is a de Polignac number, because none of the positive numbers 2^k-314003131332401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314003131332409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3204113584976 + ... + 3204113585073.

It is an arithmetic number, because the mean of its divisors is an integer number (60878158115475).

Almost surely, 2^{314003131332401} is an apocalyptic number.

It is an amenable number.

314003131332401 is a deficient number, since it is larger than the sum of its proper divisors (51265817360449).

314003131332401 is an equidigital number, since it uses as much as digits as its factorization.

314003131332401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408227170063 (or 6408227170056 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 314003131332401 its reverse (104233131300413), we get a palindrome (418236262632814).

The spelling of 314003131332401 in words is "three hundred fourteen trillion, three billion, one hundred thirty-one million, three hundred thirty-two thousand, four hundred one".