20130114400 has 144 divisors (see below), whose sum is σ = 54918703728. Its totient is φ = 7141376000.

The previous prime is 20130114331. The next prime is 20130114401. The reversal of 20130114400 is 441103102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130114401) 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, 332904 + ... + 388696.

It is an arithmetic number, because the mean of its divisors is an integer number (381379887).

Almost surely, 2^20130114400 is an apocalyptic number.

20130114400 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 20130114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27459351864).

20130114400 is an abundant number, since it is smaller than the sum of its proper divisors (34788589328).

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

20130114400 is a wasteful number, since it uses less digits than its factorization.

20130114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55865 (or 55852 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20130114400 its reverse (441103102), we get a palindrome (20571217502).

The spelling of 20130114400 in words is "twenty billion, one hundred thirty million, one hundred fourteen thousand, four hundred".