2013100101 has 32 divisors (see below), whose sum is σ = 3209616000. Its totient is φ = 1242397440.

The previous prime is 2013100087. The next prime is 2013100121. The reversal of 2013100101 is 1010013102.

It is not a de Polignac number, because 2013100101 - 2¹⁵ = 2013067333 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013100121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7951 + ... + 63948.

It is an arithmetic number, because the mean of its divisors is an integer number (100300500).

Almost surely, 2^2013100101 is an apocalyptic number.

It is an amenable number.

2013100101 is a deficient number, since it is larger than the sum of its proper divisors (1196515899).

2013100101 is a wasteful number, since it uses less digits than its factorization.

2013100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71986 (or 71980 counting only the distinct ones).

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

The square root of 2013100101 is about 44867.5840780401. The cubic root of 2013100101 is about 1262.6659144235.

Adding to 2013100101 its reverse (1010013102), we get a palindrome (3023113203).

The spelling of 2013100101 in words is "two billion, thirteen million, one hundred thousand, one hundred one".