103313020210032 has 160 divisors (see below), whose sum is σ = 268769777633280. Its totient is φ = 34196296960000.

The previous prime is 103313020210019. The next prime is 103313020210069. The reversal of 103313020210032 is 230012020313301.

It is a junction number, because it is equal to n+sod(n) for n = 103313020209990 and 103313020210008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9101661157 + ... + 9101672507.

It is an arithmetic number, because the mean of its divisors is an integer number (1679811110208).

Almost surely, 2^{103313020210032} is an apocalyptic number.

103313020210032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103313020210032 is an abundant number, since it is smaller than the sum of its proper divisors (165456757423248).

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

103313020210032 is a wasteful number, since it uses less digits than its factorization.

103313020210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13783 (or 13777 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103313020210032 its reverse (230012020313301), we get a palindrome (333325040523333).

The spelling of 103313020210032 in words is "one hundred three trillion, three hundred thirteen billion, twenty million, two hundred ten thousand, thirty-two".