131001112033131 has 16 divisors (see below), whose sum is σ = 175468842581760. Its totient is φ = 86934494303520.

The previous prime is 131001112033111. The next prime is 131001112033133. The reversal of 131001112033131 is 131330211100131.

It is not a de Polignac number, because 131001112033131 - 2³¹ = 130998964549483 is a prime.

It is a super-2 number, since 2×131001112033131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131001112033098 and 131001112033107.

It is not an unprimeable number, because it can be changed into a prime (131001112033133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95092701 + ... + 96460478.

It is an arithmetic number, because the mean of its divisors is an integer number (10966802661360).

Almost surely, 2^{131001112033131} is an apocalyptic number.

131001112033131 is a deficient number, since it is larger than the sum of its proper divisors (44467730548629).

131001112033131 is a wasteful number, since it uses less digits than its factorization.

131001112033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191554226.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 131001112033131 its reverse (131330211100131), we get a palindrome (262331323133262).

The spelling of 131001112033131 in words is "one hundred thirty-one trillion, one billion, one hundred twelve million, thirty-three thousand, one hundred thirty-one".