10414004211331 has 24 divisors (see below), whose sum is σ = 12591583845120. Its totient is φ = 8435319782736.

The previous prime is 10414004211329. The next prime is 10414004211337. The reversal of 10414004211331 is 13311240041401.

It is not a de Polignac number, because 10414004211331 - 2¹ = 10414004211329 is a prime.

It is a super-2 number, since 2×10414004211331² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10414004211296 and 10414004211305.

It is not an unprimeable number, because it can be changed into a prime (10414004211337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16634311 + ... + 17249008.

It is an arithmetic number, because the mean of its divisors is an integer number (524649326880).

Almost surely, 2^{10414004211331} is an apocalyptic number.

10414004211331 is a deficient number, since it is larger than the sum of its proper divisors (2177579633789).

10414004211331 is an equidigital number, since it uses as much as digits as its factorization.

10414004211331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33883455 (or 33883432 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10414004211331 its reverse (13311240041401), we get a palindrome (23725244252732).

The spelling of 10414004211331 in words is "ten trillion, four hundred fourteen billion, four million, two hundred eleven thousand, three hundred thirty-one".