1331001603361 has 2 divisors, whose sum is σ = 1331001603362. Its totient is φ = 1331001603360.

The previous prime is 1331001603293. The next prime is 1331001603403. The reversal of 1331001603361 is 1633061001331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1315680114961 + 15321488400 = 1147031^2 + 123780^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331001603361 - 2²³ = 1330993214753 is a prime.

It is not a weakly prime, because it can be changed into another prime (1331001673361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665500801680 + 665500801681.

It is an arithmetic number, because the mean of its divisors is an integer number (665500801681).

Almost surely, 2^{1331001603361} is an apocalyptic number.

It is an amenable number.

1331001603361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331001603361 is an equidigital number, since it uses as much as digits as its factorization.

1331001603361 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 1331001603361 its reverse (1633061001331), we get a palindrome (2964062604692).

The spelling of 1331001603361 in words is "one trillion, three hundred thirty-one billion, one million, six hundred three thousand, three hundred sixty-one".