100040013361 has 2 divisors, whose sum is σ = 100040013362. Its totient is φ = 100040013360.

The previous prime is 100040013289. The next prime is 100040013431. The reversal of 100040013361 is 163310040001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95663397025 + 4376616336 = 309295^2 + 66156^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100040013361 is a prime.

It is not a weakly prime, because it can be changed into another prime (100040013061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50020006680 + 50020006681.

It is an arithmetic number, because the mean of its divisors is an integer number (50020006681).

Almost surely, 2^100040013361 is an apocalyptic number.

It is an amenable number.

100040013361 is a deficient number, since it is larger than the sum of its proper divisors (1).

100040013361 is an equidigital number, since it uses as much as digits as its factorization.

100040013361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100040013361 its reverse (163310040001), we get a palindrome (263350053362).

The spelling of 100040013361 in words is "one hundred billion, forty million, thirteen thousand, three hundred sixty-one".