131220415431 has 24 divisors (see below), whose sum is σ = 216946604160. Its totient is φ = 74869287696.

The previous prime is 131220415429. The next prime is 131220415433. The reversal of 131220415431 is 134514022131.

131220415431 is a `hidden beast` number, since 1 + 3 + 1 + 220 + 4 + 1 + 5 + 431 = 666.

It is an interprime number because it is at equal distance from previous prime (131220415429) and next prime (131220415433).

It is not a de Polignac number, because 131220415431 - 2¹ = 131220415429 is a prime.

It is a super-2 number, since 2×131220415431² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131220415395 and 131220415404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131220415433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1538805 + ... + 1621838.

It is an arithmetic number, because the mean of its divisors is an integer number (9039441840).

Almost surely, 2^131220415431 is an apocalyptic number.

131220415431 is a deficient number, since it is larger than the sum of its proper divisors (85726188729).

131220415431 is a wasteful number, since it uses less digits than its factorization.

131220415431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161315 (or 3161312 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 131220415431 its reverse (134514022131), we get a palindrome (265734437562).

It can be divided in two parts, 1312204 and 15431, that added together give a triangular number (1327635 = T₁₆₂₉).

The spelling of 131220415431 in words is "one hundred thirty-one billion, two hundred twenty million, four hundred fifteen thousand, four hundred thirty-one".