2013132030100 has 72 divisors (see below), whose sum is σ = 4408192857600. Its totient is φ = 797938874880.

The previous prime is 2013132030083. The next prime is 2013132030101. The reversal of 2013132030100 is 10302313102.

It is a super-2 number, since 2×2013132030100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013132030101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54210139 + ... + 54247261.

It is an arithmetic number, because the mean of its divisors is an integer number (61224900800).

Almost surely, 2^{2013132030100} is an apocalyptic number.

2013132030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013132030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204096428800).

2013132030100 is an abundant number, since it is smaller than the sum of its proper divisors (2395060827500).

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

2013132030100 is a wasteful number, since it uses less digits than its factorization.

2013132030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42049 (or 42042 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2013132030100 its reverse (10302313102), we get a palindrome (2023434343202).

The spelling of 2013132030100 in words is "two trillion, thirteen billion, one hundred thirty-two million, thirty thousand, one hundred".