20130334400 has 126 divisors (see below), whose sum is σ = 54446111580. Its totient is φ = 7320051200.

The previous prime is 20130334397. The next prime is 20130334417. The reversal of 20130334400 is 443303102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 141611 + ... + 245589.

Almost surely, 2^20130334400 is an apocalyptic number.

20130334400 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 20130334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27223055790).

20130334400 is an abundant number, since it is smaller than the sum of its proper divisors (34315777180).

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

20130334400 is a wasteful number, since it uses less digits than its factorization.

20130334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104023 (or 103997 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20130334400 its reverse (443303102), we get a palindrome (20573637502).

The spelling of 20130334400 in words is "twenty billion, one hundred thirty million, three hundred thirty-four thousand, four hundred".