100034444131304 has 32 divisors (see below), whose sum is σ = 189422938976040. Its totient is φ = 49521667104000.

The previous prime is 100034444131301. The next prime is 100034444131379. The reversal of 100034444131304 is 403131444430001.

It can be written as a sum of positive squares in 4 ways, for example, as 98595168840100 + 1439275291204 = 9929510^2 + 1199698^2 .

It is a super-3 number, since 3×100034444131304³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100034444131301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154629794 + ... + 155275374.

Almost surely, 2^{100034444131304} is an apocalyptic number.

It is an amenable number.

100034444131304 is a deficient number, since it is larger than the sum of its proper divisors (89388494844736).

100034444131304 is a wasteful number, since it uses less digits than its factorization.

100034444131304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837461 (or 837457 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 100034444131304 its reverse (403131444430001), we get a palindrome (503165888561305).

The spelling of 100034444131304 in words is "one hundred trillion, thirty-four billion, four hundred forty-four million, one hundred thirty-one thousand, three hundred four".