103313210020020 has 576 divisors, whose sum is σ = 432138624293376. Its totient is φ = 19280742543360.

The previous prime is 103313210019973. The next prime is 103313210020037. The reversal of 103313210020020 is 20020012313301.

103313210020020 is a `hidden beast` number, since 1 + 0 + 331 + 32 + 100 + 200 + 2 + 0 = 666.

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 = 103313210019975 and 103313210020002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1081839 + ... + 14415158.

It is an arithmetic number, because the mean of its divisors is an integer number (750240667176).

Almost surely, 2^{103313210020020} is an apocalyptic number.

103313210020020 is a gapful number since it is divisible by the number (10) 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 103313210020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216069312146688).

103313210020020 is an abundant number, since it is smaller than the sum of its proper divisors (328825414273356).

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

103313210020020 is a wasteful number, since it uses less digits than its factorization.

103313210020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15497080 (or 15497075 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103313210020020 its reverse (20020012313301), we get a palindrome (123333222333321).

The spelling of 103313210020020 in words is "one hundred three trillion, three hundred thirteen billion, two hundred ten million, twenty thousand, twenty".