2013102 has 48 divisors (see below), whose sum is σ = 5372640. Its totient is φ = 530496.

The previous prime is 2013101. The next prime is 2013113.

It is a happy number.

2013102 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×2013102⁴ (a number of 26 digits) contains 4444 as substring.

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 (2013101) 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, 1024 + ... + 2252.

It is an arithmetic number, because the mean of its divisors is an integer number (111930).

2^2013102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686320).

2013102 is an abundant number, since it is smaller than the sum of its proper divisors (3359538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013102 is a wasteful number, since it uses less digits than its factorization.

2013102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2013102 is about 1418.8382571668. The cubic root of 2013102 is about 126.2666311457.

The spelling of 2013102 in words is "two million, thirteen thousand, one hundred two".