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1331133132303 = 321317669247427
BaseRepresentation
bin10011010111101101101…
…101111010111000001111
311201020212221211102220100
4103113231231322320033
5133302130040213203
62455303014422143
7165112501636062
oct23275555727017
94636787742810
101331133132303
11473591a502a7
12195b95961953
13986aa170b10
14485da2b88d9
152495c27bea3
hex135edb7ae0f

1331133132303 has 24 divisors (see below), whose sum is σ = 2192454574128. Its totient is φ = 770973034752.

The previous prime is 1331133132221. The next prime is 1331133132347. The reversal of 1331133132303 is 3032313311331.

1331133132303 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 331 + 323 + 0 + 3 = 666.

It is not a de Polignac number, because 1331133132303 - 233 = 1322543197711 is a prime.

It is a super-2 number, since 2×13311331323032 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331133132103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334621725 + ... + 334625702.

It is an arithmetic number, because the mean of its divisors is an integer number (91352273922).

Almost surely, 21331133132303 is an apocalyptic number.

1331133132303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1331133132303 is a deficient number, since it is larger than the sum of its proper divisors (861321441825).

1331133132303 is a wasteful number, since it uses less digits than its factorization.

1331133132303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669247463 (or 669247460 counting only the distinct ones).

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

Adding to 1331133132303 its reverse (3032313311331), we get a palindrome (4363446443634).

The spelling of 1331133132303 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 669247427 2007742281 6023226843 8700216551 11377206259 26100649653 34131618777 78301948959 102394856331 147903681367 443711044101 1331133132303