103313022332340 has 192 divisors, whose sum is σ = 307358674882560. Its totient is φ = 25879588116480.

The previous prime is 103313022332297. The next prime is 103313022332341. The reversal of 103313022332340 is 43233220313301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103313022332298 and 103313022332307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313022332341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1278095725 + ... + 1278176555.

It is an arithmetic number, because the mean of its divisors is an integer number (1600826431680).

Almost surely, 2^{103313022332340} is an apocalyptic number.

103313022332340 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 103313022332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153679337441280).

103313022332340 is an abundant number, since it is smaller than the sum of its proper divisors (204045652550220).

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

103313022332340 is a wasteful number, since it uses less digits than its factorization.

103313022332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100762 (or 100760 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 103313022332340 its reverse (43233220313301), we get a palindrome (146546242645641).

The spelling of 103313022332340 in words is "one hundred three trillion, three hundred thirteen billion, twenty-two million, three hundred thirty-two thousand, three hundred forty".