13143114400 has 72 divisors (see below), whose sum is σ = 34553780604. Its totient is φ = 4852838400.

The previous prime is 13143114371. The next prime is 13143114401. The reversal of 13143114400 is 441134131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 100560784 + 13042553616 = 10028^2 + 114204^2 .

It is a super-2 number, since 2×13143114400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13143114401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621481 + ... + 642280.

Almost surely, 2^13143114400 is an apocalyptic number.

13143114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13143114400 is an abundant number, since it is smaller than the sum of its proper divisors (21410666204).

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

13143114400 is a wasteful number, since it uses less digits than its factorization.

13143114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263794 (or 1263781 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13143114400 its reverse (441134131), we get a palindrome (13584248531).

The spelling of 13143114400 in words is "thirteen billion, one hundred forty-three million, one hundred fourteen thousand, four hundred".