103313102202 has 96 divisors (see below), whose sum is σ = 239668612560. Its totient is φ = 32049561600.

The previous prime is 103313102143. The next prime is 103313102203. The reversal of 103313102202 is 202201313301.

103313102202 is a `hidden beast` number, since 1 + 0 + 331 + 310 + 2 + 20 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 99609040881 + 3704061321 = 315609^2 + 60861^2 .

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

It is not an unprimeable number, because it can be changed into a prime (103313102203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31182498 + ... + 31185810.

Almost surely, 2^103313102202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103313102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119834306280).

103313102202 is an abundant number, since it is smaller than the sum of its proper divisors (136355510358).

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

103313102202 is a wasteful number, since it uses less digits than its factorization.

103313102202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4445 counting only the distinct ones).

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

Adding to 103313102202 its reverse (202201313301), we get a palindrome (305514415503).

The spelling of 103313102202 in words is "one hundred three billion, three hundred thirteen million, one hundred two thousand, two hundred two".