131530101431 has 16 divisors (see below), whose sum is σ = 140905668960. Its totient is φ = 122555771520.

The previous prime is 131530101359. The next prime is 131530101433. The reversal of 131530101431 is 134101035131.

It is a cyclic number.

It is not a de Polignac number, because 131530101431 - 2²⁶ = 131462992567 is a prime.

It is a super-2 number, since 2×131530101431² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131530101397 and 131530101406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131530101433) 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 15 ways as a sum of consecutive naturals, for example, 607685 + ... + 795198.

It is an arithmetic number, because the mean of its divisors is an integer number (8806604310).

Almost surely, 2^131530101431 is an apocalyptic number.

131530101431 is a deficient number, since it is larger than the sum of its proper divisors (9375567529).

131530101431 is a wasteful number, since it uses less digits than its factorization.

131530101431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403026.

The product of its (nonzero) digits is 540, while the sum is 23.

Adding to 131530101431 its reverse (134101035131), we get a palindrome (265631136562).

The spelling of 131530101431 in words is "one hundred thirty-one billion, five hundred thirty million, one hundred one thousand, four hundred thirty-one".