103013113000320 has 192 divisors, whose sum is σ = 355722490983600. Its totient is φ = 27469751463936.

The previous prime is 103013113000319. The next prime is 103013113000333. The reversal of 103013113000320 is 23000311310301.

It is a happy number.

103013113000320 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 311 + 30 + 0 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×103013113000320² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103013113000293 and 103013113000302.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 714012351 + ... + 714156609.

Almost surely, 2^{103013113000320} is an apocalyptic number.

103013113000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103013113000320 is an abundant number, since it is smaller than the sum of its proper divisors (252709377983280).

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

103013113000320 is a wasteful number, since it uses less digits than its factorization.

103013113000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268257 (or 268242 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103013113000320 its reverse (23000311310301), we get a palindrome (126013424310621).

The spelling of 103013113000320 in words is "one hundred three trillion, thirteen billion, one hundred thirteen million, three hundred twenty", and thus it is an aban number.