103313210020002 has 80 divisors (see below), whose sum is σ = 235880312595840. Its totient is φ = 33785918887968.

The previous prime is 103313210019973. The next prime is 103313210020037. The reversal of 103313210020002 is 200020012313301.

103313210020002 is a `hidden beast` number, since 1 + 0 + 331 + 32 + 100 + 200 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144566653 + ... + 145279535.

It is an arithmetic number, because the mean of its divisors is an integer number (2948503907448).

Almost surely, 2^{103313210020002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103313210020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117940156297920).

103313210020002 is an abundant number, since it is smaller than the sum of its proper divisors (132567102575838).

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

103313210020002 is a wasteful number, since it uses less digits than its factorization.

103313210020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729829 (or 729820 counting only the distinct ones).

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

Adding to 103313210020002 its reverse (200020012313301), we get a palindrome (303333222333303).

The spelling of 103313210020002 in words is "one hundred three trillion, three hundred thirteen billion, two hundred ten million, twenty thousand, two".