101000010113 has 4 divisors (see below), whose sum is σ = 101096110128. Its totient is φ = 100903910100.

The previous prime is 101000010047. The next prime is 101000010187. The reversal of 101000010113 is 311010000101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101000010113 - 2¹⁸ = 100999747969 is a prime.

It is a super-2 number, since 2×101000010113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101000010113.

It is not an unprimeable number, because it can be changed into a prime (101000016113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48048431 + ... + 48050532.

It is an arithmetic number, because the mean of its divisors is an integer number (25274027532).

Almost surely, 2^101000010113 is an apocalyptic number.

It is an amenable number.

101000010113 is a deficient number, since it is larger than the sum of its proper divisors (96100015).

101000010113 is an equidigital number, since it uses as much as digits as its factorization.

101000010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96100014.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 101000010113 its reverse (311010000101), we get a palindrome (412010010214).

The spelling of 101000010113 in words is "one hundred one billion, ten thousand, one hundred thirteen".