101041635131 has 4 divisors (see below), whose sum is σ = 101042434200. Its totient is φ = 101040836064.

The previous prime is 101041635127. The next prime is 101041635137. The reversal of 101041635131 is 131536140101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 131536140101 = 29 ⋅4535728969.

It is a cyclic number.

It is not a de Polignac number, because 101041635131 - 2² = 101041635127 is a prime.

It is a super-2 number, since 2×101041635131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101041635131.

It is not an unprimeable number, because it can be changed into a prime (101041635137) 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 3 ways as a sum of consecutive naturals, for example, 163301 + ... + 478278.

It is an arithmetic number, because the mean of its divisors is an integer number (25260608550).

Almost surely, 2^101041635131 is an apocalyptic number.

101041635131 is a deficient number, since it is larger than the sum of its proper divisors (799069).

101041635131 is an equidigital number, since it uses as much as digits as its factorization.

101041635131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799068.

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 101041635131 its reverse (131536140101), we get a palindrome (232577775232).

The spelling of 101041635131 in words is "one hundred one billion, forty-one million, six hundred thirty-five thousand, one hundred thirty-one".