2013103133132 has 48 divisors (see below), whose sum is σ = 4428167976960. Its totient is φ = 779447921472.

The previous prime is 2013103133131. The next prime is 2013103133203. The reversal of 2013103133132 is 2313313013102.

It is a super-2 number, since 2×2013103133132² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013103133098 and 2013103133107.

It is not an unprimeable number, because it can be changed into a prime (2013103133131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58818032 + ... + 58852247.

It is an arithmetic number, because the mean of its divisors is an integer number (92253499520).

Almost surely, 2^{2013103133132} is an apocalyptic number.

It is an amenable number.

2013103133132 is an abundant number, since it is smaller than the sum of its proper divisors (2415064843828).

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

2013103133132 is a wasteful number, since it uses less digits than its factorization.

2013103133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117670350 (or 117670348 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2013103133132 its reverse (2313313013102), we get a palindrome (4326416146234).

The spelling of 2013103133132 in words is "two trillion, thirteen billion, one hundred three million, one hundred thirty-three thousand, one hundred thirty-two".