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13011103103313 = 373764316459271
BaseRepresentation
bin1011110101010110001000…
…1011011011100101010001
31201001211221010221121200010
42331111202023123211101
53201133214343301223
643401115050345133
72512010156413110
oct275254213334521
951054833847603
1013011103103313
114166a83559637
12156178012b1a9
13734c32071c33
1432da52893c77
151786ae2e0393
hexbd5622db951

13011103103313 has 16 divisors (see below), whose sum is σ = 19826970725376. Its totient is φ = 7434718096080.

The previous prime is 13011103103279. The next prime is 13011103103353. The reversal of 13011103103313 is 31330130111031.

It is not a de Polignac number, because 13011103103313 - 28 = 13011103103057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13011103103313.

It is not an unprimeable number, because it can be changed into a prime (13011103103353) 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 15 ways as a sum of consecutive naturals, for example, 7439133 + ... + 9020138.

It is an arithmetic number, because the mean of its divisors is an integer number (1239185670336).

Almost surely, 213011103103313 is an apocalyptic number.

It is an amenable number.

13011103103313 is a deficient number, since it is larger than the sum of its proper divisors (6815867622063).

13011103103313 is a wasteful number, since it uses less digits than its factorization.

13011103103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16496924.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 13011103103313 its reverse (31330130111031), we get a palindrome (44341233214344).

The spelling of 13011103103313 in words is "thirteen trillion, eleven billion, one hundred three million, one hundred three thousand, three hundred thirteen".

Divisors: 1 3 7 21 37643 112929 263501 790503 16459271 49377813 115214897 345644691 619576338253 1858729014759 4337034367771 13011103103313