2013102000 has 480 divisors, whose sum is σ = 8660695680. Its totient is φ = 424396800.

The previous prime is 2013101999. The next prime is 2013102023. The reversal of 2013102000 is 2013102.

It is a happy number.

It is a super-4 number, since 4×2013102000⁴ (a number of 38 digits) contains 4444 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1637386 + ... + 1638614.

It is an arithmetic number, because the mean of its divisors is an integer number (18043116).

Almost surely, 2^2013102000 is an apocalyptic number.

2013102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330347840).

2013102000 is an abundant number, since it is smaller than the sum of its proper divisors (6647593680).

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

2013102000 is a wasteful number, since it uses less digits than its factorization.

2013102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1259 counting only the distinct ones).

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

The square root of 2013102000 is about 44867.6052403067. The cubic root of 2013102000 is about 1262.6663114565. Note that the first 3 decimals are identical.

Adding to 2013102000 its reverse (2013102), we get a palindrome (2015115102).

2013102000 divided by its reverse (2013102) gives a cube (1000 = 10³).

The spelling of 2013102000 in words is "two billion, thirteen million, one hundred two thousand".