20130310311100 has 144 divisors (see below), whose sum is σ = 47906451353376. Its totient is φ = 7281340416000.

The previous prime is 20130310311091. The next prime is 20130310311127. The reversal of 20130310311100 is 111301303102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1446032140 + ... + 1446046060.

It is an arithmetic number, because the mean of its divisors is an integer number (332683689954).

Almost surely, 2^{20130310311100} is an apocalyptic number.

20130310311100 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 20130310311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23953225676688).

20130310311100 is an abundant number, since it is smaller than the sum of its proper divisors (27776141042276).

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

20130310311100 is a wasteful number, since it uses less digits than its factorization.

20130310311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20816 (or 20809 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 20130310311100 its reverse (111301303102), we get a palindrome (20241611614202).

The spelling of 20130310311100 in words is "twenty trillion, one hundred thirty billion, three hundred ten million, three hundred eleven thousand, one hundred".