1314013140 has 144 divisors (see below), whose sum is σ = 4408238016. Its totient is φ = 314150400.

The previous prime is 1314013133. The next prime is 1314013163. The reversal of 1314013140 is 413104131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139995 + ... + 149085.

It is an arithmetic number, because the mean of its divisors is an integer number (30612764).

Almost surely, 2^1314013140 is an apocalyptic number.

1314013140 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 1314013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204119008).

1314013140 is an abundant number, since it is smaller than the sum of its proper divisors (3094224876).

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

1314013140 is a wasteful number, since it uses less digits than its factorization.

1314013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9190 (or 9185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1314013140 is about 36249.3191660202. The cubic root of 1314013140 is about 1095.3003742165.

Adding to 1314013140 its reverse (413104131), we get a palindrome (1727117271).

Subtracting from 1314013140 its reverse (413104131), we obtain a palindrome (900909009).

The spelling of 1314013140 in words is "one billion, three hundred fourteen million, thirteen thousand, one hundred forty".