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201331130013 = 3313678561089
BaseRepresentation
bin1011101110000001000…
…1010011111010011101
3201020200010001002121000
42323200101103322131
511244311232130023
6232253520500513
720355113240346
oct2734021237235
9636603032530
10201331130013
11784251a0952
123302947a739
1315ca7036580
149a5cbc70cd
155385263243
hex2ee0453e9d

201331130013 has 32 divisors (see below), whose sum is σ = 326006307200. Its totient is φ = 122046870528.

The previous prime is 201331129969. The next prime is 201331130023. The reversal of 201331130013 is 310031133102.

It is a happy number.

201331130013 is a `hidden beast` number, since 20 + 1 + 331 + 1 + 300 + 13 = 666.

It is not a de Polignac number, because 201331130013 - 220 = 201330081437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201331130023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257028 + ... + 4304061.

It is an arithmetic number, because the mean of its divisors is an integer number (10187697100).

Almost surely, 2201331130013 is an apocalyptic number.

It is an amenable number.

201331130013 is a deficient number, since it is larger than the sum of its proper divisors (124675177187).

201331130013 is a wasteful number, since it uses less digits than its factorization.

201331130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8561178 (or 8561172 counting only the distinct ones).

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

Adding to 201331130013 its reverse (310031133102), we get a palindrome (511362263115).

The spelling of 201331130013 in words is "two hundred one billion, three hundred thirty-one million, one hundred thirty thousand, thirteen".

Divisors: 1 3 9 13 27 39 67 117 201 351 603 871 1809 2613 7839 23517 8561089 25683267 77049801 111294157 231149403 333882471 573592963 1001647413 1720778889 3004942239 5162336667 7456708519 15487010001 22370125557 67110376671 201331130013