10012134010431 has 24 divisors (see below), whose sum is σ = 15552805376304. Its totient is φ = 5712457941120.

The previous prime is 10012134010427. The next prime is 10012134010433. The reversal of 10012134010431 is 13401043121001.

It is not a de Polignac number, because 10012134010431 - 2² = 10012134010427 is a prime.

It is a super-2 number, since 2×10012134010431² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10012134010398 and 10012134010407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012134010433) 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, 52055430 + ... + 52247411.

It is an arithmetic number, because the mean of its divisors is an integer number (648033557346).

Almost surely, 2^{10012134010431} is an apocalyptic number.

10012134010431 is a deficient number, since it is larger than the sum of its proper divisors (5540671365873).

10012134010431 is a wasteful number, since it uses less digits than its factorization.

10012134010431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104303511 (or 104303504 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10012134010431 its reverse (13401043121001), we get a palindrome (23413177131432).

The spelling of 10012134010431 in words is "ten trillion, twelve billion, one hundred thirty-four million, ten thousand, four hundred thirty-one".