100563405337 has 2 divisors, whose sum is σ = 100563405338. Its totient is φ = 100563405336.

The previous prime is 100563405281. The next prime is 100563405359. The reversal of 100563405337 is 733504365001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52670709001 + 47892696336 = 229501^2 + 218844^2 .

It is an emirp because it is prime and its reverse (733504365001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100563405337 - 2²⁷ = 100429187609 is a prime.

It is a super-2 number, since 2×100563405337² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100563405296 and 100563405305.

It is not a weakly prime, because it can be changed into another prime (100563400337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50281702668 + 50281702669.

It is an arithmetic number, because the mean of its divisors is an integer number (50281702669).

Almost surely, 2^100563405337 is an apocalyptic number.

It is an amenable number.

100563405337 is a deficient number, since it is larger than the sum of its proper divisors (1).

100563405337 is an equidigital number, since it uses as much as digits as its factorization.

100563405337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 113400, while the sum is 37.

The spelling of 100563405337 in words is "one hundred billion, five hundred sixty-three million, four hundred five thousand, three hundred thirty-seven".