4100001213231 has 192 divisors, whose sum is σ = 7687993098240. Its totient is φ = 2043897408000.

The previous prime is 4100001213229. The next prime is 4100001213251. The reversal of 4100001213231 is 1323121000014.

4100001213231 is a `hidden beast` number, since 410 + 0 + 0 + 0 + 1 + 21 + 3 + 231 = 666.

It is not a de Polignac number, because 4100001213231 - 2¹ = 4100001213229 is a prime.

It is a super-2 number, since 2×4100001213231² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100001213251) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 966295596 + ... + 966299838.

It is an arithmetic number, because the mean of its divisors is an integer number (40041630720).

Almost surely, 2^{4100001213231} is an apocalyptic number.

4100001213231 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4100001213231 is a deficient number, since it is larger than the sum of its proper divisors (3587991885009).

4100001213231 is a wasteful number, since it uses less digits than its factorization.

4100001213231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 4100001213231 its reverse (1323121000014), we get a palindrome (5423122213245).

The spelling of 4100001213231 in words is "four trillion, one hundred billion, one million, two hundred thirteen thousand, two hundred thirty-one".