10000114240431 has 64 divisors (see below), whose sum is σ = 16152112585728. Its totient is φ = 5372391702528.

The previous prime is 10000114240429. The next prime is 10000114240469. The reversal of 10000114240431 is 13404241100001.

It is not a de Polignac number, because 10000114240431 - 2¹ = 10000114240429 is a prime.

It is a super-2 number, since 2×10000114240431² (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 = 10000114240398 and 10000114240407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000114240421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1955818731 + ... + 1955823843.

It is an arithmetic number, because the mean of its divisors is an integer number (252376759152).

Almost surely, 2^{10000114240431} is an apocalyptic number.

10000114240431 is a deficient number, since it is larger than the sum of its proper divisors (6151998345297).

10000114240431 is a wasteful number, since it uses less digits than its factorization.

10000114240431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10000.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10000114240431 its reverse (13404241100001), we get a palindrome (23404355340432).

The spelling of 10000114240431 in words is "ten trillion, one hundred fourteen million, two hundred forty thousand, four hundred thirty-one".