331003434121321 has 8 divisors (see below), whose sum is σ = 356475377631240. Its totient is φ = 305532939309312.

The previous prime is 331003434121291. The next prime is 331003434121351. The reversal of 331003434121321 is 123121434300133.

It is an interprime number because it is at equal distance from previous prime (331003434121291) and next prime (331003434121351).

It can be written as a sum of positive squares in 4 ways, for example, as 5058720705600 + 325944713415721 = 2249160^2 + 18053939^2 .

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

It is not a de Polignac number, because 331003434121321 - 2²¹ = 331003432024169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331003434121351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361699906 + ... + 362613883.

It is an arithmetic number, because the mean of its divisors is an integer number (44559422203905).

Almost surely, 2^{331003434121321} is an apocalyptic number.

It is an amenable number.

331003434121321 is a deficient number, since it is larger than the sum of its proper divisors (25471943509919).

331003434121321 is a wasteful number, since it uses less digits than its factorization.

331003434121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724348955.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 331003434121321 its reverse (123121434300133), we get a palindrome (454124868421454).

The spelling of 331003434121321 in words is "three hundred thirty-one trillion, three billion, four hundred thirty-four million, one hundred twenty-one thousand, three hundred twenty-one".