103500313332 has 192 divisors, whose sum is σ = 269352695808. Its totient is φ = 30735936000.

The previous prime is 103500313327. The next prime is 103500313337. The reversal of 103500313332 is 233313005301.

It is an interprime number because it is at equal distance from previous prime (103500313327) and next prime (103500313337).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103500313337) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 156581082 + ... + 156581742.

It is an arithmetic number, because the mean of its divisors is an integer number (1402878624).

Almost surely, 2^103500313332 is an apocalyptic number.

103500313332 is a gapful number since it is divisible by the number (12) 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 103500313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134676347904).

103500313332 is an abundant number, since it is smaller than the sum of its proper divisors (165852382476).

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

103500313332 is a wasteful number, since it uses less digits than its factorization.

103500313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 24.

Adding to 103500313332 its reverse (233313005301), we get a palindrome (336813318633).

The spelling of 103500313332 in words is "one hundred three billion, five hundred million, three hundred thirteen thousand, three hundred thirty-two".