103313520324 has 288 divisors, whose sum is σ = 322334638080. Its totient is φ = 27251769600.

The previous prime is 103313520311. The next prime is 103313520341. The reversal of 103313520324 is 423025313301.

103313520324 is a `hidden beast` number, since 1 + 0 + 3 + 313 + 5 + 20 + 324 = 666.

103313520324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103313520324² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127389879 + ... + 127390689.

Almost surely, 2^103313520324 is an apocalyptic number.

103313520324 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 103313520324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161167319040).

103313520324 is an abundant number, since it is smaller than the sum of its proper divisors (219021117756).

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

103313520324 is a wasteful number, since it uses less digits than its factorization.

103313520324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 103313520324 its reverse (423025313301), we get a palindrome (526338833625).

The spelling of 103313520324 in words is "one hundred three billion, three hundred thirteen million, five hundred twenty thousand, three hundred twenty-four".