13034431200 has 864 divisors, whose sum is σ = 53006607360. Its totient is φ = 2767564800.

The previous prime is 13034431171. The next prime is 13034431211. The reversal of 13034431200 is 213443031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 164992761 + ... + 164992839.

It is an arithmetic number, because the mean of its divisors is an integer number (61350240).

Almost surely, 2^13034431200 is an apocalyptic number.

13034431200 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 13034431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26503303680).

13034431200 is an abundant number, since it is smaller than the sum of its proper divisors (39972176160).

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

13034431200 is a wasteful number, since it uses less digits than its factorization.

13034431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13034431200 its reverse (213443031), we get a palindrome (13247874231).

The spelling of 13034431200 in words is "thirteen billion, thirty-four million, four hundred thirty-one thousand, two hundred".