314101013 has 2 divisors, whose sum is σ = 314101014. Its totient is φ = 314101012.

The previous prime is 314100979. The next prime is 314101019. The reversal of 314101013 is 310101413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301126609 + 12974404 = 17353^2 + 3602^2 .

It is a cyclic number.

It is not a de Polignac number, because 314101013 - 2¹⁴ = 314084629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314101019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157050506 + 157050507.

It is an arithmetic number, because the mean of its divisors is an integer number (157050507).

Almost surely, 2^314101013 is an apocalyptic number.

It is an amenable number.

314101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

314101013 is an equidigital number, since it uses as much as digits as its factorization.

314101013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 314101013 is about 17722.8951641655. The cubic root of 314101013 is about 679.7613154514.

Adding to 314101013 its reverse (310101413), we get a palindrome (624202426).

It can be divided in two parts, 31410 and 1013, that added together give a palindrome (32423).

The spelling of 314101013 in words is "three hundred fourteen million, one hundred one thousand, thirteen".