131501336031 has 128 divisors (see below), whose sum is σ = 227542784000. Its totient is φ = 74353241088.

The previous prime is 131501336009. The next prime is 131501336059. The reversal of 131501336031 is 130633105131.

131501336031 is a `hidden beast` number, since 1 + 3 + 1 + 50 + 1 + 3 + 3 + 603 + 1 = 666.

It is not a de Polignac number, because 131501336031 - 2¹¹ = 131501333983 is a prime.

It is a super-2 number, since 2×131501336031² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131501335986 and 131501336004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131501336431) 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 127 ways as a sum of consecutive naturals, for example, 100921326 + ... + 100922628.

It is an arithmetic number, because the mean of its divisors is an integer number (1777678000).

Almost surely, 2^131501336031 is an apocalyptic number.

131501336031 is a deficient number, since it is larger than the sum of its proper divisors (96041447969).

131501336031 is a wasteful number, since it uses less digits than its factorization.

131501336031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 131501336031 in words is "one hundred thirty-one billion, five hundred one million, three hundred thirty-six thousand, thirty-one".