10000123114431 has 64 divisors (see below), whose sum is σ = 15014740608000. Its totient is φ = 5886895128576.

The previous prime is 10000123114409. The next prime is 10000123114447. The reversal of 10000123114431 is 13441132100001.

It is not a de Polignac number, because 10000123114431 - 2⁹ = 10000123113919 is a prime.

It is a super-2 number, since 2×10000123114431² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000123114398 and 10000123114407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000123114451) 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 63 ways as a sum of consecutive naturals, for example, 30913035 + ... + 31234851.

It is an arithmetic number, because the mean of its divisors is an integer number (234605322000).

Almost surely, 2^{10000123114431} is an apocalyptic number.

10000123114431 is a deficient number, since it is larger than the sum of its proper divisors (5014617493569).

10000123114431 is a wasteful number, since it uses less digits than its factorization.

10000123114431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322368.

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

Adding to 10000123114431 its reverse (13441132100001), we get a palindrome (23441255214432).

The spelling of 10000123114431 in words is "ten trillion, one hundred twenty-three million, one hundred fourteen thousand, four hundred thirty-one".