2013303102129 has 96 divisors (see below), whose sum is σ = 3396643061760. Its totient is φ = 1137108873600.

The previous prime is 2013303102127. The next prime is 2013303102133. The reversal of 2013303102129 is 9212013033102.

2013303102129 is a `hidden beast` number, since 2 + 0 + 1 + 330 + 310 + 2 + 12 + 9 = 666.

It is not a de Polignac number, because 2013303102129 - 2¹ = 2013303102127 is a prime.

It is a super-3 number, since 3×2013303102129³ (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2013303102121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34057852 + ... + 34116914.

It is an arithmetic number, because the mean of its divisors is an integer number (35381698560).

Almost surely, 2^{2013303102129} is an apocalyptic number.

2013303102129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2013303102129 is a deficient number, since it is larger than the sum of its proper divisors (1383339959631).

2013303102129 is a wasteful number, since it uses less digits than its factorization.

2013303102129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59523 (or 59520 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 2013303102129 in words is "two trillion, thirteen billion, three hundred three million, one hundred two thousand, one hundred twenty-nine".