1313103624 has 64 divisors (see below), whose sum is σ = 3776976000. Its totient is φ = 372647424.

The previous prime is 1313103593. The next prime is 1313103653. The reversal of 1313103624 is 4263013131.

It is a happy number.

It is a super-2 number, since 2×1313103624² = 3448482254723866752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1313103594 and 1313103603.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1197 + ... + 51260.

It is an arithmetic number, because the mean of its divisors is an integer number (59015250).

Almost surely, 2^1313103624 is an apocalyptic number.

1313103624 is a gapful number since it is divisible by the number (14) 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 1313103624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888488000).

1313103624 is an abundant number, since it is smaller than the sum of its proper divisors (2463872376).

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

1313103624 is a wasteful number, since it uses less digits than its factorization.

1313103624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52622 (or 52618 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1313103624 is about 36236.7717105153. The cubic root of 1313103624 is about 1095.0476057783.

Adding to 1313103624 its reverse (4263013131), we get a palindrome (5576116755).

The spelling of 1313103624 in words is "one billion, three hundred thirteen million, one hundred three thousand, six hundred twenty-four".