2013103132100 has 36 divisors (see below), whose sum is σ = 4625400494484. Its totient is φ = 757874119680.

The previous prime is 2013103132093. The next prime is 2013103132121. The reversal of 2013103132100 is 12313013102.

It can be written as a sum of positive squares in 6 ways, for example, as 141640827904 + 1871462304196 = 376352^2 + 1368014^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 592087457 + ... + 592090856.

It is an arithmetic number, because the mean of its divisors is an integer number (128483347069).

Almost surely, 2^{2013103132100} is an apocalyptic number.

2013103132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013103132100 is an abundant number, since it is smaller than the sum of its proper divisors (2612297362384).

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

2013103132100 is a wasteful number, since it uses less digits than its factorization.

2013103132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184178344 (or 1184178337 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2013103132100 its reverse (12313013102), we get a palindrome (2025416145202).

The spelling of 2013103132100 in words is "two trillion, thirteen billion, one hundred three million, one hundred thirty-two thousand, one hundred".