131311100121121 has 12 divisors (see below), whose sum is σ = 135684414816132. Its totient is φ = 127074478320000.

The previous prime is 131311100121029. The next prime is 131311100121161. The reversal of 131311100121121 is 121121001113131.

It can be written as a sum of positive squares in 2 ways, for example, as 38753924320225 + 92557175800896 = 6225265^2 + 9620664^2 .

It is not a de Polignac number, because 131311100121121 - 2²¹ = 131311098023969 is a prime.

It is a super-3 number, since 3×131311100121121³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131311100121161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212457781 + ... + 213074941.

It is an arithmetic number, because the mean of its divisors is an integer number (11307034568011).

Almost surely, 2^{131311100121121} is an apocalyptic number.

It is an amenable number.

131311100121121 is a deficient number, since it is larger than the sum of its proper divisors (4373314695011).

131311100121121 is an equidigital number, since it uses as much as digits as its factorization.

131311100121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838624 (or 838593 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 131311100121121 its reverse (121121001113131), we get a palindrome (252432101234252).

The spelling of 131311100121121 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred million, one hundred twenty-one thousand, one hundred twenty-one".