1314113004 has 96 divisors (see below), whose sum is σ = 3604285440. Its totient is φ = 413195904.

The previous prime is 1314112967. The next prime is 1314113011. The reversal of 1314113004 is 4003114131.

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

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 31 ways as a sum of consecutive naturals, for example, 177709 + ... + 184955.

It is an arithmetic number, because the mean of its divisors is an integer number (37544640).

Almost surely, 2^1314113004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314113004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802142720).

1314113004 is an abundant number, since it is smaller than the sum of its proper divisors (2290172436).

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

1314113004 is a wasteful number, since it uses less digits than its factorization.

1314113004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7356 (or 7348 counting only the distinct ones).

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

The square root of 1314113004 is about 36250.6966002034. The cubic root of 1314113004 is about 1095.3281208456.

Adding to 1314113004 its reverse (4003114131), we get a palindrome (5317227135).

The spelling of 1314113004 in words is "one billion, three hundred fourteen million, one hundred thirteen thousand, four".