101412314033 has 2 divisors, whose sum is σ = 101412314034. Its totient is φ = 101412314032.

The previous prime is 101412313991. The next prime is 101412314041. The reversal of 101412314033 is 330413214101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59071844209 + 42340469824 = 243047^2 + 205768^2 .

It is an emirp because it is prime and its reverse (330413214101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101412314033 - 2⁶ = 101412313969 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101412314083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50706157016 + 50706157017.

It is an arithmetic number, because the mean of its divisors is an integer number (50706157017).

Almost surely, 2^101412314033 is an apocalyptic number.

It is an amenable number.

101412314033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101412314033 is an equidigital number, since it uses as much as digits as its factorization.

101412314033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 101412314033 its reverse (330413214101), we get a palindrome (431825528134).

The spelling of 101412314033 in words is "one hundred one billion, four hundred twelve million, three hundred fourteen thousand, thirty-three".