101232323113131 has 144 divisors (see below), whose sum is σ = 181061821145088. Its totient is φ = 54257946422400.

The previous prime is 101232323113091. The next prime is 101232323113133. The reversal of 101232323113131 is 131311323232101.

101232323113131 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 2 + 32 + 311 + 313 + 1 = 666.

It is not a de Polignac number, because 101232323113131 - 2¹⁴ = 101232323096747 is a prime.

It is a super-2 number, since 2×101232323113131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101232323113095 and 101232323113104.

It is not an unprimeable number, because it can be changed into a prime (101232323113133) 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 143 ways as a sum of consecutive naturals, for example, 65416501 + ... + 66946121.

It is an arithmetic number, because the mean of its divisors is an integer number (1257373757952).

Almost surely, 2^{101232323113131} is an apocalyptic number.

101232323113131 is a deficient number, since it is larger than the sum of its proper divisors (79829498031957).

101232323113131 is a wasteful number, since it uses less digits than its factorization.

101232323113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529822 (or 1529812 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 101232323113131 its reverse (131311323232101), we get a palindrome (232543646345232).

The spelling of 101232323113131 in words is "one hundred one trillion, two hundred thirty-two billion, three hundred twenty-three million, one hundred thirteen thousand, one hundred thirty-one".