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13101112213 = 723122937663
BaseRepresentation
bin11000011001110001…
…10001101110010101
31020211001001110100021
430030320301232111
5203312341042323
610004002145141
7642441421300
oct141470615625
936731043307
1013101112213
115613266572
1226576521b1
13130a314807
148c3d69b37
1551a27605d
hex30ce31b95

13101112213 has 24 divisors (see below), whose sum is σ = 15800801280. Its totient is φ = 10819539360.

The previous prime is 13101112201. The next prime is 13101112223. The reversal of 13101112213 is 31221110131.

It is a happy number.

13101112213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13101112213 - 29 = 13101111701 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 (13101112223) 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 23 ways as a sum of consecutive naturals, for example, 329020 + ... + 366682.

It is an arithmetic number, because the mean of its divisors is an integer number (658366720).

Almost surely, 213101112213 is an apocalyptic number.

It is an amenable number.

13101112213 is a deficient number, since it is larger than the sum of its proper divisors (2699689067).

13101112213 is a wasteful number, since it uses less digits than its factorization.

13101112213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37937 (or 37930 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13101112213 its reverse (31221110131), we get a palindrome (44322222344).

The spelling of 13101112213 in words is "thirteen billion, one hundred one million, one hundred twelve thousand, two hundred thirteen".

Divisors: 1 7 31 49 217 229 1519 1603 7099 11221 37663 49693 263641 347851 1167553 1845487 8172871 8624827 57210097 60373789 267369637 422616523 1871587459 13101112213