100500001013 has 2 divisors, whose sum is σ = 100500001014. Its totient is φ = 100500001012.

The previous prime is 100500000989. The next prime is 100500001087. The reversal of 100500001013 is 310100005001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79423639684 + 21076361329 = 281822^2 + 145177^2 .

It is a cyclic number.

It is not a de Polignac number, because 100500001013 - 2¹⁸ = 100499738869 is a prime.

It is a super-2 number, since 2×100500001013² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100500000985 and 100500001003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100500001313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50250000506 + 50250000507.

It is an arithmetic number, because the mean of its divisors is an integer number (50250000507).

Almost surely, 2^100500001013 is an apocalyptic number.

It is an amenable number.

100500001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100500001013 is an equidigital number, since it uses as much as digits as its factorization.

100500001013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15, while the sum is 11.

Adding to 100500001013 its reverse (310100005001), we get a palindrome (410600006014).

The spelling of 100500001013 in words is "one hundred billion, five hundred million, one thousand, thirteen".