1313434122 has 128 divisors (see below), whose sum is σ = 3599769600. Its totient is φ = 314838720.

The previous prime is 1313434117. The next prime is 1313434123. The reversal of 1313434122 is 2214343131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1313434092 and 1313434101.

It is not an unprimeable number, because it can be changed into a prime (1313434123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292063 + ... + 296525.

It is an arithmetic number, because the mean of its divisors is an integer number (28123200).

Almost surely, 2^1313434122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313434122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

1313434122 is an abundant number, since it is smaller than the sum of its proper divisors (2286335478).

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

1313434122 is a wasteful number, since it uses less digits than its factorization.

1313434122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4499 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1313434122 is about 36241.3316808309. The cubic root of 1313434122 is about 1095.1394697353.

Adding to 1313434122 its reverse (2214343131), we get a palindrome (3527777253).

Subtracting 1313434122 from its reverse (2214343131), we obtain a palindrome (900909009).

The spelling of 1313434122 in words is "one billion, three hundred thirteen million, four hundred thirty-four thousand, one hundred twenty-two".