214001103137 has 2 divisors, whose sum is σ = 214001103138. Its totient is φ = 214001103136.

The previous prime is 214001103109. The next prime is 214001103149. The reversal of 214001103137 is 731301100412.

It is a happy number.

214001103137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206233148641 + 7767954496 = 454129^2 + 88136^2 .

It is a cyclic number.

It is not a de Polignac number, because 214001103137 - 2²⁰ = 214000054561 is a prime.

It is a super-2 number, since 2×214001103137² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (214001103187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107000551568 + 107000551569.

It is an arithmetic number, because the mean of its divisors is an integer number (107000551569).

Almost surely, 2^214001103137 is an apocalyptic number.

It is an amenable number.

214001103137 is a deficient number, since it is larger than the sum of its proper divisors (1).

214001103137 is an equidigital number, since it uses as much as digits as its factorization.

214001103137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 214001103137 its reverse (731301100412), we get a palindrome (945302203549).

The spelling of 214001103137 in words is "two hundred fourteen billion, one million, one hundred three thousand, one hundred thirty-seven".