1314131165200 has 120 divisors (see below), whose sum is σ = 3608658142208. Its totient is φ = 450505635840.

The previous prime is 1314131165189. The next prime is 1314131165201. The reversal of 1314131165200 is 25611314131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1314131165201) 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, 28825624 + ... + 28871176.

Almost surely, 2^{1314131165200} is an apocalyptic number.

1314131165200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314131165200 is an abundant number, since it is smaller than the sum of its proper divisors (2294526977008).

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

1314131165200 is a wasteful number, since it uses less digits than its factorization.

1314131165200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55881 (or 55870 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 1314131165200 its reverse (25611314131), we get a palindrome (1339742479331).

The spelling of 1314131165200 in words is "one trillion, three hundred fourteen billion, one hundred thirty-one million, one hundred sixty-five thousand, two hundred".