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13012131 = 3111920753
BaseRepresentation
bin110001101000…
…110010100011
3220111002021210
4301220302203
511312342011
61142521203
7215413146
oct61506243
926432253
1013012131
117388230
124436203
1329078b2
141a2a05d
1512206a6
hexc68ca3

13012131 has 16 divisors (see below), whose sum is σ = 19923840. Its totient is φ = 7470720.

The previous prime is 13012117. The next prime is 13012141. The reversal of 13012131 is 13121031.

13012131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13012131 - 29 = 13011619 is a prime.

It is a super-2 number, since 2×130121312 = 338631106322322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13012141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9750 + ... + 11003.

It is an arithmetic number, because the mean of its divisors is an integer number (1245240).

Almost surely, 213012131 is an apocalyptic number.

13012131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13012131 is a deficient number, since it is larger than the sum of its proper divisors (6911709).

13012131 is a wasteful number, since it uses less digits than its factorization.

13012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20786.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 13012131 is about 3607.2331502136. The cubic root of 13012131 is about 235.2065846009.

Adding to 13012131 its reverse (13121031), we get a palindrome (26133162).

Subtracting 13012131 from its reverse (13121031), we obtain a square (108900 = 3302).

The spelling of 13012131 in words is "thirteen million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 11 19 33 57 209 627 20753 62259 228283 394307 684849 1182921 4337377 13012131