331312130133121 has 2 divisors, whose sum is σ = 331312130133122. Its totient is φ = 331312130133120.

The previous prime is 331312130133073. The next prime is 331312130133217. The reversal of 331312130133121 is 121331031213133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301676463994896 + 29635666138225 = 17368836^2 + 5443865^2 .

It is a cyclic number.

It is not a de Polignac number, because 331312130133121 - 2²¹ = 331312128035969 is a prime.

It is a super-2 number, since 2×331312130133121² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331312130133121.

It is not a weakly prime, because it can be changed into another prime (331312130133221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165656065066560 + 165656065066561.

It is an arithmetic number, because the mean of its divisors is an integer number (165656065066561).

Almost surely, 2^{331312130133121} is an apocalyptic number.

It is an amenable number.

331312130133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

331312130133121 is an equidigital number, since it uses as much as digits as its factorization.

331312130133121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 331312130133121 its reverse (121331031213133), we get a palindrome (452643161346254).

The spelling of 331312130133121 in words is "three hundred thirty-one trillion, three hundred twelve billion, one hundred thirty million, one hundred thirty-three thousand, one hundred twenty-one".