2013012103102 has 192 divisors, whose sum is σ = 4172098492800. Its totient is φ = 708668928000.

The previous prime is 2013012103043. The next prime is 2013012103117.

2013012103102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197950674 + ... + 197960842.

It is an arithmetic number, because the mean of its divisors is an integer number (21729679650).

Almost surely, 2^{2013012103102} is an apocalyptic number.

2013012103102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2013012103102 is an abundant number, since it is smaller than the sum of its proper divisors (2159086389698).

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

2013012103102 is a wasteful number, since it uses less digits than its factorization.

2013012103102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 2013012103102 in words is "two trillion, thirteen billion, twelve million, one hundred three thousand, one hundred two".