13235030400 has 192 divisors, whose sum is σ = 46157737680. Its totient is φ = 3321692160.

The previous prime is 13235030399. The next prime is 13235030407. The reversal of 13235030400 is 403053231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13235030407) 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, 122652 + ... + 203748.

Almost surely, 2^13235030400 is an apocalyptic number.

13235030400 is a gapful number since it is divisible by the number (10) 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 13235030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23078868840).

13235030400 is an abundant number, since it is smaller than the sum of its proper divisors (32922707280).

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

13235030400 is a wasteful number, since it uses less digits than its factorization.

13235030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81141 (or 81124 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 13235030400 its reverse (403053231), we get a palindrome (13638083631).

The spelling of 13235030400 in words is "thirteen billion, two hundred thirty-five million, thirty thousand, four hundred".