103442131034000 has 640 divisors, whose sum is σ = 302803139358720. Its totient is φ = 33734486016000.

The previous prime is 103442131033979. The next prime is 103442131034009. The reversal of 103442131034000 is 430131244301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (103442131034009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 932502539 + ... + 932613461.

It is an arithmetic number, because the mean of its divisors is an integer number (473129905248).

Almost surely, 2^{103442131034000} is an apocalyptic number.

103442131034000 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 103442131034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151401569679360).

103442131034000 is an abundant number, since it is smaller than the sum of its proper divisors (199361008324720).

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

103442131034000 is a wasteful number, since it uses less digits than its factorization.

103442131034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111096 (or 111080 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 103442131034000 its reverse (430131244301), we get a palindrome (103872262278301).

The spelling of 103442131034000 in words is "one hundred three trillion, four hundred forty-two billion, one hundred thirty-one million, thirty-four thousand".