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1331131120301 is a prime number
BaseRepresentation
bin10011010111101101100…
…110001111101010101101
311201020212211001012221202
4103113231212033222231
5133302124031322201
62455302503335245
7165112445556143
oct23275546175255
94636784035852
101331131120301
114735908a6694
12195b95151525
13986a9918098
14485d9d13593
152495bed0c6b
hex135ed98faad

1331131120301 has 2 divisors, whose sum is σ = 1331131120302. Its totient is φ = 1331131120300.

The previous prime is 1331131120279. The next prime is 1331131120321. The reversal of 1331131120301 is 1030211311331.

It is an a-pointer prime, because the next prime (1331131120321) can be obtained adding 1331131120301 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1185596500201 + 145534620100 = 1088851^2 + 381490^2 .

It is an emirp because it is prime and its reverse (1030211311331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1331131120301 - 234 = 1313951251117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331131120321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665565560150 + 665565560151.

It is an arithmetic number, because the mean of its divisors is an integer number (665565560151).

Almost surely, 21331131120301 is an apocalyptic number.

It is an amenable number.

1331131120301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331131120301 is an equidigital number, since it uses as much as digits as its factorization.

1331131120301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1331131120301 its reverse (1030211311331), we get a palindrome (2361342431632).

The spelling of 1331131120301 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred twenty thousand, three hundred one".