13114125200 has 90 divisors (see below), whose sum is σ = 34631443602. Its totient is φ = 4768755200.

The previous prime is 13114125197. The next prime is 13114125239. The reversal of 13114125200 is 252141131.

It can be written as a sum of positive squares in 3 ways, for example, as 97140736 + 13016984464 = 9856^2 + 114092^2 .

It is a super-2 number, since 2×13114125200² (a number of 21 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 87077 + ... + 183876.

Almost surely, 2^13114125200 is an apocalyptic number.

13114125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114125200 is an abundant number, since it is smaller than the sum of its proper divisors (21517318402).

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

13114125200 is a wasteful number, since it uses less digits than its factorization.

13114125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270993 (or 270971 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 13114125200 its reverse (252141131), we get a palindrome (13366266331).

The spelling of 13114125200 in words is "thirteen billion, one hundred fourteen million, one hundred twenty-five thousand, two hundred".