10030004311541 has 6 divisors (see below), whose sum is σ = 10280605253826. Its totient is φ = 9785370058400.

The previous prime is 10030004311513. The next prime is 10030004311567. The reversal of 10030004311541 is 14511340003001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 31311302500 + 9998693009041 = 176950^2 + 3162071^2 .

It is not a de Polignac number, because 10030004311541 - 2¹⁸ = 10030004049397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030004311571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2983342850 + ... + 2983346211.

It is an arithmetic number, because the mean of its divisors is an integer number (1713434208971).

Almost surely, 2^{10030004311541} is an apocalyptic number.

It is an amenable number.

10030004311541 is a deficient number, since it is larger than the sum of its proper divisors (250600942285).

10030004311541 is an frugal number, since it uses more digits than its factorization.

10030004311541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966689143 (or 5966689102 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 10030004311541 its reverse (14511340003001), we get a palindrome (24541344314542).

The spelling of 10030004311541 in words is "ten trillion, thirty billion, four million, three hundred eleven thousand, five hundred forty-one".