2013102024 has 32 divisors (see below), whose sum is σ = 5058313920. Its totient is φ = 667626176.

The previous prime is 2013102023. The next prime is 2013102029. The reversal of 2013102024 is 4202013102.

It is a junction number, because it is equal to n+sod(n) for n = 2013101994 and 2013102012.

It is not an unprimeable number, because it can be changed into a prime (2013102023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 208164 + ... + 217619.

It is an arithmetic number, because the mean of its divisors is an integer number (158072310).

Almost surely, 2^2013102024 is an apocalyptic number.

2013102024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2013102024 is an abundant number, since it is smaller than the sum of its proper divisors (3045211896).

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

2013102024 is a wasteful number, since it uses less digits than its factorization.

2013102024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425989 (or 425985 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2013102024 is about 44867.6055077603. The cubic root of 2013102024 is about 1262.6663164743. Note that the first 3 decimals are identical.

Adding to 2013102024 its reverse (4202013102), we get a palindrome (6215115126).

The spelling of 2013102024 in words is "two billion, thirteen million, one hundred two thousand, twenty-four".