103442131033420 has 96 divisors (see below), whose sum is σ = 230503886258688. Its totient is φ = 38858802081792.

The previous prime is 103442131033349. The next prime is 103442131033421. The reversal of 103442131033420 is 24330131244301.

It is not an unprimeable number, because it can be changed into a prime (103442131033421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354420069 + ... + 354711811.

It is an arithmetic number, because the mean of its divisors is an integer number (2401082148528).

Almost surely, 2^{103442131033420} is an apocalyptic number.

103442131033420 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 103442131033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115251943129344).

103442131033420 is an abundant number, since it is smaller than the sum of its proper divisors (127061755225268).

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

103442131033420 is a wasteful number, since it uses less digits than its factorization.

103442131033420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294019 (or 294017 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 103442131033420 its reverse (24330131244301), we get a palindrome (127772262277721).

The spelling of 103442131033420 in words is "one hundred three trillion, four hundred forty-two billion, one hundred thirty-one million, thirty-three thousand, four hundred twenty".