1000010020113 has 24 divisors (see below), whose sum is σ = 1555605128168. Its totient is φ = 615377336832.

The previous prime is 1000010020091. The next prime is 1000010020223. The reversal of 1000010020113 is 3110200100001.

It can be written as a sum of positive squares in 4 ways, for example, as 7061545089 + 992948475024 = 84033^2 + 996468^2 .

It is not a de Polignac number, because 1000010020113 - 2²⁶ = 999942911249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000010020095 and 1000010020104.

It is not an unprimeable number, because it can be changed into a prime (1000010020913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9343881 + ... + 9450297.

Almost surely, 2^{1000010020113} is an apocalyptic number.

1000010020113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000010020113 is a deficient number, since it is larger than the sum of its proper divisors (555595108055).

1000010020113 is a wasteful number, since it uses less digits than its factorization.

1000010020113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186753 (or 186750 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1000010020113 its reverse (3110200100001), we get a palindrome (4110210120114).

The spelling of 1000010020113 in words is "one trillion, ten million, twenty thousand, one hundred thirteen".