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1201331313 = 327133147317
BaseRepresentation
bin100011110011010…
…1101110001110001
310002201111221202100
41013212231301301
54430020100223
6315112411013
741525101440
oct10746556161
93081457670
101201331313
11567135aa6
122963a6a69
13161b6c440
14b5798d57
1570700043
hex479adc71

1201331313 has 48 divisors (see below), whose sum is σ = 2204640256. Its totient is φ = 613215360.

The previous prime is 1201331311. The next prime is 1201331357. The reversal of 1201331313 is 3131331021.

It is a happy number.

1201331313 is a `hidden beast` number, since 1 + 20 + 1 + 331 + 313 = 666.

It is not a de Polignac number, because 1201331313 - 21 = 1201331311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1201331311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1731 + ... + 49047.

Almost surely, 21201331313 is an apocalyptic number.

1201331313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1201331313 is a deficient number, since it is larger than the sum of its proper divisors (1003308943).

1201331313 is a wasteful number, since it uses less digits than its factorization.

1201331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47374 (or 47371 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1201331313 is about 34660.2266726575. The cubic root of 1201331313 is about 1063.0514048241.

Adding to 1201331313 its reverse (3131331021), we get a palindrome (4332662334).

The spelling of 1201331313 in words is "one billion, two hundred one million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 7 9 13 21 31 39 63 91 93 117 217 273 279 403 651 819 1209 1953 2821 3627 8463 25389 47317 141951 331219 425853 615121 993657 1466827 1845363 2980971 4305847 4400481 5536089 10267789 12917541 13201443 19068751 30803367 38752623 57206253 92410101 133481257 171618759 400443771 1201331313