314101330010953 has 2 divisors, whose sum is σ = 314101330010954. Its totient is φ = 314101330010952.

The previous prime is 314101330010827. The next prime is 314101330010957. The reversal of 314101330010953 is 359010033101413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311804504892169 + 2296825118784 = 17657987^2 + 1515528^2 .

It is a cyclic number.

It is not a de Polignac number, because 314101330010953 - 2¹⁷ = 314101329879881 is a prime.

It is not a weakly prime, because it can be changed into another prime (314101330010957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157050665005476 + 157050665005477.

It is an arithmetic number, because the mean of its divisors is an integer number (157050665005477).

Almost surely, 2^{314101330010953} is an apocalyptic number.

It is an amenable number.

314101330010953 is a deficient number, since it is larger than the sum of its proper divisors (1).

314101330010953 is an equidigital number, since it uses as much as digits as its factorization.

314101330010953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14580, while the sum is 34.

The spelling of 314101330010953 in words is "three hundred fourteen trillion, one hundred one billion, three hundred thirty million, ten thousand, nine hundred fifty-three".