100414133107 has 2 divisors, whose sum is σ = 100414133108. Its totient is φ = 100414133106.

The previous prime is 100414133059. The next prime is 100414133117. The reversal of 100414133107 is 701331414001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100414133107 is a prime.

It is not a weakly prime, because it can be changed into another prime (100414133117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50207066553 + 50207066554.

It is an arithmetic number, because the mean of its divisors is an integer number (50207066554).

Almost surely, 2^100414133107 is an apocalyptic number.

100414133107 is a deficient number, since it is larger than the sum of its proper divisors (1).

100414133107 is an equidigital number, since it uses as much as digits as its factorization.

100414133107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 100414133107 its reverse (701331414001), we get a palindrome (801745547108).

The spelling of 100414133107 in words is "one hundred billion, four hundred fourteen million, one hundred thirty-three thousand, one hundred seven".