131045245045101 has 112 divisors (see below), whose sum is σ = 205655280969600. Its totient is φ = 83306645807616.

The previous prime is 131045245045079. The next prime is 131045245045133. The reversal of 131045245045101 is 101540542540131.

131045245045101 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 45 + 2 + 4 + 504 + 5 + 101 = 666.

It is not a de Polignac number, because 131045245045101 - 2¹⁷ = 131045244914029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131045245045201) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11303819361 + ... + 11303830953.

It is an arithmetic number, because the mean of its divisors is an integer number (1836207865800).

Almost surely, 2^{131045245045101} is an apocalyptic number.

It is an amenable number.

131045245045101 is a deficient number, since it is larger than the sum of its proper divisors (74610035924499).

131045245045101 is a wasteful number, since it uses less digits than its factorization.

131045245045101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13662 (or 13647 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 131045245045101 its reverse (101540542540131), we get a palindrome (232585787585232).

The spelling of 131045245045101 in words is "one hundred thirty-one trillion, forty-five billion, two hundred forty-five million, forty-five thousand, one hundred one".