10004235513031 has 24 divisors (see below), whose sum is σ = 10655863606080. Its totient is φ = 9390492905472.

The previous prime is 10004235513017. The next prime is 10004235513043. The reversal of 10004235513031 is 13031553240001.

It is a happy number.

It is not a de Polignac number, because 10004235513031 - 2⁷ = 10004235512903 is a prime.

It is a super-2 number, since 2×10004235513031² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004235513071) 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 23 ways as a sum of consecutive naturals, for example, 371518290 + ... + 371545216.

It is an arithmetic number, because the mean of its divisors is an integer number (443994316920).

Almost surely, 2^{10004235513031} is an apocalyptic number.

10004235513031 is a deficient number, since it is larger than the sum of its proper divisors (651628093049).

10004235513031 is a wasteful number, since it uses less digits than its factorization.

10004235513031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30363 (or 30346 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 10004235513031 its reverse (13031553240001), we get a palindrome (23035788753032).

The spelling of 10004235513031 in words is "ten trillion, four billion, two hundred thirty-five million, five hundred thirteen thousand, thirty-one".