10414123431131 has 16 divisors (see below), whose sum is σ = 12244150923264. Its totient is φ = 8672940173664.

The previous prime is 10414123431119. The next prime is 10414123431137. The reversal of 10414123431131 is 13113432141401.

10414123431131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10414123431131 - 2²² = 10414119236827 is a prime.

It is a super-2 number, since 2×10414123431131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10414123431094 and 10414123431103.

It is not an unprimeable number, because it can be changed into a prime (10414123431137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136225931 + ... + 136302356.

It is an arithmetic number, because the mean of its divisors is an integer number (765259432704).

Almost surely, 2^{10414123431131} is an apocalyptic number.

10414123431131 is a deficient number, since it is larger than the sum of its proper divisors (1830027492133).

10414123431131 is a wasteful number, since it uses less digits than its factorization.

10414123431131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272528450.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 10414123431131 its reverse (13113432141401), we get a palindrome (23527555572532).

The spelling of 10414123431131 in words is "ten trillion, four hundred fourteen billion, one hundred twenty-three million, four hundred thirty-one thousand, one hundred thirty-one".