13114330400 has 72 divisors (see below), whose sum is σ = 33898650660. Its totient is φ = 4937154560.

The previous prime is 13114330393. The next prime is 13114330459. The reversal of 13114330400 is 403341131.

It can be written as a sum of positive squares in 6 ways, for example, as 4500263056 + 8614067344 = 67084^2 + 92812^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468545 + ... + 495744.

Almost surely, 2^13114330400 is an apocalyptic number.

13114330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114330400 is an abundant number, since it is smaller than the sum of its proper divisors (20784320260).

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

13114330400 is a wasteful number, since it uses less digits than its factorization.

13114330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964326 (or 964313 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13114330400 its reverse (403341131), we get a palindrome (13517671531).

The spelling of 13114330400 in words is "thirteen billion, one hundred fourteen million, three hundred thirty thousand, four hundred".