4101101443131 has 192 divisors, whose sum is σ = 7331790090240. Its totient is φ = 2012384183040.

The previous prime is 4101101443099. The next prime is 4101101443157. The reversal of 4101101443131 is 1313441011014.

It is not a de Polignac number, because 4101101443131 - 2⁵ = 4101101443099 is a prime.

It is a super-2 number, since 2×4101101443131² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4101101445131) 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, 1018399140 + ... + 1018403166.

It is an arithmetic number, because the mean of its divisors is an integer number (38186406720).

Almost surely, 2^{4101101443131} is an apocalyptic number.

4101101443131 is a deficient number, since it is larger than the sum of its proper divisors (3230688647109).

4101101443131 is a wasteful number, since it uses less digits than its factorization.

4101101443131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 4101101443131 its reverse (1313441011014), we get a palindrome (5414542454145).

The spelling of 4101101443131 in words is "four trillion, one hundred one billion, one hundred one million, four hundred forty-three thousand, one hundred thirty-one".