1010100013 has 4 divisors (see below), whose sum is σ = 1087800028. Its totient is φ = 932400000.

The previous prime is 1010100011. The next prime is 1010100019. The reversal of 1010100013 is 3100010101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3100010101 = 211 ⋅14691991.

It can be written as a sum of positive squares in 2 ways, for example, as 147914244 + 862185769 = 12162^2 + 29363^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010100013 - 2¹ = 1010100011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010099969 and 1010100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38849988 + ... + 38850013.

It is an arithmetic number, because the mean of its divisors is an integer number (271950007).

Almost surely, 2^1010100013 is an apocalyptic number.

1010100013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1010100013 is a deficient number, since it is larger than the sum of its proper divisors (77700015).

1010100013 is an equidigital number, since it uses as much as digits as its factorization.

1010100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77700014.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 1010100013 is about 31782.0706216571. The cubic root of 1010100013 is about 1003.3553997004.

Adding to 1010100013 its reverse (3100010101), we get a palindrome (4110110114).

The spelling of 1010100013 in words is "one billion, ten million, one hundred thousand, thirteen".