103442232141312 has 160 divisors (see below), whose sum is σ = 277065446676480. Its totient is φ = 34294512967680.

The previous prime is 103442232141301. The next prime is 103442232141337. The reversal of 103442232141312 is 213141232244301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1995811014 + ... + 1995862842.

It is an arithmetic number, because the mean of its divisors is an integer number (1731659041728).

Almost surely, 2^{103442232141312} is an apocalyptic number.

103442232141312 is a gapful number since it is divisible by the number (12) 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 103442232141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138532723338240).

103442232141312 is an abundant number, since it is smaller than the sum of its proper divisors (173623214535168).

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

103442232141312 is an equidigital number, since it uses as much as digits as its factorization.

103442232141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58844 (or 58828 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 103442232141312 its reverse (213141232244301), we get a palindrome (316583464385613).

The spelling of 103442232141312 in words is "one hundred three trillion, four hundred forty-two billion, two hundred thirty-two million, one hundred forty-one thousand, three hundred twelve".