103330002010312 has 128 divisors (see below), whose sum is σ = 242014215168000. Its totient is φ = 40181218421760.

The previous prime is 103330002010309. The next prime is 103330002010349. The reversal of 103330002010312 is 213010200033301.

It is a super-2 number, since 2×103330002010312² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103330002010312.

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 31 ways as a sum of consecutive naturals, for example, 1454108239 + ... + 1454179297.

It is an arithmetic number, because the mean of its divisors is an integer number (1890736056000).

Almost surely, 2^{103330002010312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103330002010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121007107584000).

103330002010312 is an abundant number, since it is smaller than the sum of its proper divisors (138684213157688).

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

103330002010312 is a wasteful number, since it uses less digits than its factorization.

103330002010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75579 (or 75575 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 103330002010312 its reverse (213010200033301), we get a palindrome (316340202043613).

The spelling of 103330002010312 in words is "one hundred three trillion, three hundred thirty billion, two million, ten thousand, three hundred twelve".