100134413261 has 2 divisors, whose sum is σ = 100134413262. Its totient is φ = 100134413260.

The previous prime is 100134413233. The next prime is 100134413273. The reversal of 100134413261 is 162314431001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77576175625 + 22558237636 = 278525^2 + 150194^2 .

It is a cyclic number.

It is not a de Polignac number, because 100134413261 - 2²⁶ = 100067304397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100134413261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100134413231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50067206630 + 50067206631.

It is an arithmetic number, because the mean of its divisors is an integer number (50067206631).

Almost surely, 2^100134413261 is an apocalyptic number.

It is an amenable number.

100134413261 is a deficient number, since it is larger than the sum of its proper divisors (1).

100134413261 is an equidigital number, since it uses as much as digits as its factorization.

100134413261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 100134413261 its reverse (162314431001), we get a palindrome (262448844262).

The spelling of 100134413261 in words is "one hundred billion, one hundred thirty-four million, four hundred thirteen thousand, two hundred sixty-one".