103442131034001 has 12 divisors (see below), whose sum is σ = 149416531741828. Its totient is φ = 68961365190144.

The previous prime is 103442131033979. The next prime is 103442131034009. The reversal of 103442131034001 is 100430131244301.

103442131034001 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 2 + 1 + 310 + 340 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46926678593025 + 56515452440976 = 6850305^2 + 7517676^2 .

It is not a de Polignac number, because 103442131034001 - 2²¹ = 103442128936849 is a prime.

It is a Duffinian 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 11 ways as a sum of consecutive naturals, for example, 9426261 + ... + 17197053.

Almost surely, 2^{103442131034001} is an apocalyptic number.

It is an amenable number.

103442131034001 is a deficient number, since it is larger than the sum of its proper divisors (45974400707827).

103442131034001 is a wasteful number, since it uses less digits than its factorization.

103442131034001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9249872 (or 9249869 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103442131034001 its reverse (100430131244301), we get a palindrome (203872262278302).

The spelling of 103442131034001 in words is "one hundred three trillion, four hundred forty-two billion, one hundred thirty-one million, thirty-four thousand, one".