103313432310 has 128 divisors (see below), whose sum is σ = 272574802944. Its totient is φ = 24853532160.

The previous prime is 103313432297. The next prime is 103313432329. The reversal of 103313432310 is 13234313301.

It is a happy number.

It is a super-2 number, since 2×103313432310² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36935832 + ... + 36938628.

It is an arithmetic number, because the mean of its divisors is an integer number (2129490648).

Almost surely, 2^103313432310 is an apocalyptic number.

103313432310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103313432310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136287401472).

103313432310 is an abundant number, since it is smaller than the sum of its proper divisors (169261370634).

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

103313432310 is a wasteful number, since it uses less digits than its factorization.

103313432310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103313432310 its reverse (13234313301), we get a palindrome (116547745611).

The spelling of 103313432310 in words is "one hundred three billion, three hundred thirteen million, four hundred thirty-two thousand, three hundred ten".