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1331313321303 = 33729242896063
BaseRepresentation
bin10011010111111000011…
…101010010010101010111
311201021100111212222202000
4103113320131102111113
5133303012202240203
62455332532450343
7165120120342330
oct23277035222527
94637314788660
101331313321303
11473674731a29
121960261799b3
13987085aca24
14486161c1287
152496cec14a3
hex135f8752557

1331313321303 has 32 divisors (see below), whose sum is σ = 2331802214400. Its totient is φ = 734517691488.

The previous prime is 1331313321271. The next prime is 1331313321323. The reversal of 1331313321303 is 3031233131331.

1331313321303 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 31 + 3 + 321 + 303 = 666.

It is not a de Polignac number, because 1331313321303 - 25 = 1331313321271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331313321323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121442551 + ... + 121453512.

It is an arithmetic number, because the mean of its divisors is an integer number (72868819200).

Almost surely, 21331313321303 is an apocalyptic number.

1331313321303 is a deficient number, since it is larger than the sum of its proper divisors (1000488893097).

1331313321303 is a wasteful number, since it uses less digits than its factorization.

1331313321303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242896108 (or 242896102 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1331313321303 its reverse (3031233131331), we get a palindrome (4362546452634).

The spelling of 1331313321303 in words is "one trillion, three hundred thirty-one billion, three hundred thirteen million, three hundred twenty-one thousand, three hundred three".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 1827 5481 242896063 728688189 1700272441 2186064567 5100817323 6558193701 7043985827 15302451969 21131957481 45907355907 49307900789 63395872443 147923702367 190187617329 443771107101 1331313321303