10042511203431 has 24 divisors (see below), whose sum is σ = 17553296895264. Its totient is φ = 5401014428160.

The previous prime is 10042511203429. The next prime is 10042511203453. The reversal of 10042511203431 is 13430211524001.

10042511203431 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 25 + 1 + 1 + 203 + 431 = 666.

It is not a de Polignac number, because 10042511203431 - 2¹ = 10042511203429 is a prime.

It is a super-2 number, since 2×10042511203431² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10042511203395 and 10042511203404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042511203531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4688379510 + ... + 4688381651.

It is an arithmetic number, because the mean of its divisors is an integer number (731387370636).

Almost surely, 2^{10042511203431} is an apocalyptic number.

10042511203431 is a deficient number, since it is larger than the sum of its proper divisors (7510785691833).

10042511203431 is a wasteful number, since it uses less digits than its factorization.

10042511203431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376761191 (or 9376761188 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10042511203431 its reverse (13430211524001), we get a palindrome (23472722727432).

The spelling of 10042511203431 in words is "ten trillion, forty-two billion, five hundred eleven million, two hundred three thousand, four hundred thirty-one".