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13131101301 = 35921816947
BaseRepresentation
bin11000011101010110…
…01011010001110101
31020220010111001122020
430032223023101311
5203343030220201
610010553023353
7643254343113
oct141653132165
936803431566
1013131101301
11562918983a
1226656b4b59
1313135b4836
148c7d34ab3
1551cbeba36
hex30eacb475

13131101301 has 24 divisors (see below), whose sum is σ = 17910887904. Its totient is φ = 8556916320.

The previous prime is 13131101297. The next prime is 13131101323. The reversal of 13131101301 is 10310113131.

It is not a de Polignac number, because 13131101301 - 22 = 13131101297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131101351) 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, 1886710 + ... + 1893656.

It is an arithmetic number, because the mean of its divisors is an integer number (746286996).

Almost surely, 213131101301 is an apocalyptic number.

It is an amenable number.

13131101301 is a deficient number, since it is larger than the sum of its proper divisors (4779786603).

13131101301 is an equidigital number, since it uses as much as digits as its factorization.

13131101301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7249 (or 7190 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 13131101301 its reverse (10310113131), we get a palindrome (23441214432).

The spelling of 13131101301 in words is "thirteen billion, one hundred thirty-one million, one hundred one thousand, three hundred one".

Divisors: 1 3 59 177 181 543 3481 6947 10443 10679 20841 32037 409873 630061 1229619 1257407 1890183 3772221 24182507 72547521 74187013 222561039 4377033767 13131101301