1001113101 has 42 divisors (see below), whose sum is σ = 1552049070. Its totient is φ = 645427440.

The previous prime is 1001113093. The next prime is 1001113103. The reversal of 1001113101 is 1013111001.

It can be written as a sum of positive squares in only one way, i.e., 630512100 + 370601001 = 25110^2 + 19251^2 .

It is not a de Polignac number, because 1001113101 - 2³ = 1001113093 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001113103) 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 41 ways as a sum of consecutive naturals, for example, 699855 + ... + 701283.

Almost surely, 2^1001113101 is an apocalyptic number.

It is an amenable number.

1001113101 is a deficient number, since it is larger than the sum of its proper divisors (550935969).

1001113101 is an frugal number, since it uses more digits than its factorization.

1001113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 1001113101 is about 31640.3713789835. The cubic root of 1001113101 is about 1000.3708960858.

Adding to 1001113101 its reverse (1013111001), we get a palindrome (2014224102).

The spelling of 1001113101 in words is "one billion, one million, one hundred thirteen thousand, one hundred one".