20130414311112 has 128 divisors (see below), whose sum is σ = 57865349376000. Its totient is φ = 5716643632128.

The previous prime is 20130414311093. The next prime is 20130414311153. The reversal of 20130414311112 is 21111341403102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22402848 + ... + 23284080.

It is an arithmetic number, because the mean of its divisors is an integer number (452073042000).

Almost surely, 2^{20130414311112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130414311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28932674688000).

20130414311112 is an abundant number, since it is smaller than the sum of its proper divisors (37734935064888).

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

20130414311112 is a wasteful number, since it uses less digits than its factorization.

20130414311112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882075 (or 882071 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 20130414311112 its reverse (21111341403102), we get a palindrome (41241755714214).

The spelling of 20130414311112 in words is "twenty trillion, one hundred thirty billion, four hundred fourteen million, three hundred eleven thousand, one hundred twelve".