20130213400 has 288 divisors, whose sum is σ = 54983668320. Its totient is φ = 6824857600.

The previous prime is 20130213379. The next prime is 20130213407. The reversal of 20130213400 is 431203102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130213407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68703654 + ... + 68703946.

It is an arithmetic number, because the mean of its divisors is an integer number (190915515).

Almost surely, 2^20130213400 is an apocalyptic number.

20130213400 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 20130213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27491834160).

20130213400 is an abundant number, since it is smaller than the sum of its proper divisors (34853454920).

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

20130213400 is a wasteful number, since it uses less digits than its factorization.

20130213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20130213400 its reverse (431203102), we get a palindrome (20561416502).

The spelling of 20130213400 in words is "twenty billion, one hundred thirty million, two hundred thirteen thousand, four hundred".