131412101322031 has 16 divisors (see below), whose sum is σ = 138391342499520. Its totient is φ = 124538460076800.

The previous prime is 131412101321981. The next prime is 131412101322041. The reversal of 131412101322031 is 130223101214131.

It is a cyclic number.

It is not a de Polignac number, because 131412101322031 - 2²³ = 131412092933423 is a prime.

It is a super-2 number, since 2×131412101322031² (a number of 29 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 = 131412101321987 and 131412101322005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131412101322041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44272681 + ... + 47147581.

It is an arithmetic number, because the mean of its divisors is an integer number (8649458906220).

Almost surely, 2^{131412101322031} is an apocalyptic number.

131412101322031 is a deficient number, since it is larger than the sum of its proper divisors (6979241177489).

131412101322031 is a wasteful number, since it uses less digits than its factorization.

131412101322031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893266.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 131412101322031 its reverse (130223101214131), we get a palindrome (261635202536162).

The spelling of 131412101322031 in words is "one hundred thirty-one trillion, four hundred twelve billion, one hundred one million, three hundred twenty-two thousand, thirty-one".