331144421221001 has 2 divisors, whose sum is σ = 331144421221002. Its totient is φ = 331144421221000.

The previous prime is 331144421220971. The next prime is 331144421221039. The reversal of 331144421221001 is 100122124441133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 273466548006976 + 57677873214025 = 16536824^2 + 7594595^2 .

It is a cyclic number.

It is not a de Polignac number, because 331144421221001 - 2⁴² = 326746374709897 is a prime.

It is not a weakly prime, because it can be changed into another prime (331144421221091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165572210610500 + 165572210610501.

It is an arithmetic number, because the mean of its divisors is an integer number (165572210610501).

Almost surely, 2^{331144421221001} is an apocalyptic number.

It is an amenable number.

331144421221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

331144421221001 is an equidigital number, since it uses as much as digits as its factorization.

331144421221001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 331144421221001 its reverse (100122124441133), we get a palindrome (431266545662134).

The spelling of 331144421221001 in words is "three hundred thirty-one trillion, one hundred forty-four billion, four hundred twenty-one million, two hundred twenty-one thousand, one".