100056003311137 has 2 divisors, whose sum is σ = 100056003311138. Its totient is φ = 100056003311136.

The previous prime is 100056003311003. The next prime is 100056003311267. The reversal of 100056003311137 is 731113300650001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99610799431441 + 445203879696 = 9980521^2 + 667236^2 .

It is an emirp because it is prime and its reverse (731113300650001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100056003311137 - 2¹⁹ = 100056002786849 is a prime.

It is a super-2 number, since 2×100056003311137² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100056003311099 and 100056003311108.

It is not a weakly prime, because it can be changed into another prime (100056073311137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50028001655568 + 50028001655569.

It is an arithmetic number, because the mean of its divisors is an integer number (50028001655569).

Almost surely, 2^{100056003311137} is an apocalyptic number.

It is an amenable number.

100056003311137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100056003311137 is an equidigital number, since it uses as much as digits as its factorization.

100056003311137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670, while the sum is 31.

Adding to 100056003311137 its reverse (731113300650001), we get a palindrome (831169303961138).

The spelling of 100056003311137 in words is "one hundred trillion, fifty-six billion, three million, three hundred eleven thousand, one hundred thirty-seven".