131201102131 has 8 divisors (see below), whose sum is σ = 144006565824. Its totient is φ = 118541986920.

The previous prime is 131201102111. The next prime is 131201102171.

It is a happy number.

131201102131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131201102131 - 2⁵ = 131201102099 is a prime.

It is a super-2 number, since 2×131201102131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131201102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36585241 + ... + 36588826.

It is an arithmetic number, because the mean of its divisors is an integer number (18000820728).

Almost surely, 2^131201102131 is an apocalyptic number.

131201102131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131201102131 is a deficient number, since it is larger than the sum of its proper divisors (12805463693).

131201102131 is a wasteful number, since it uses less digits than its factorization.

131201102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73174241.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 131201 and 102131, that added together give a palindrome (233332).

The spelling of 131201102131 in words is "one hundred thirty-one billion, two hundred one million, one hundred two thousand, one hundred thirty-one".