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131220013 = 383397863
BaseRepresentation
bin1111101001001…
…00001000101101
3100010220200000111
413310210020231
5232043020023
621004300021
73152231431
oct764441055
9303820014
10131220013
11680855a1
1237b41611
1321254ba2
14135da9c1
15b7c000d
hex7d2422d

131220013 has 8 divisors (see below), whose sum is σ = 132046848. Its totient is φ = 130396464.

The previous prime is 131219989. The next prime is 131220017. The reversal of 131220013 is 310022131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131220013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131219975 and 131220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131220017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151620 + ... + 152482.

It is an arithmetic number, because the mean of its divisors is an integer number (16505856).

Almost surely, 2131220013 is an apocalyptic number.

It is an amenable number.

131220013 is a deficient number, since it is larger than the sum of its proper divisors (826835).

131220013 is an equidigital number, since it uses as much as digits as its factorization.

131220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 131220013 is about 11455.1304226534. The cubic root of 131220013 is about 508.1594723769.

Adding to 131220013 its reverse (310022131), we get a palindrome (441242144).

The spelling of 131220013 in words is "one hundred thirty-one million, two hundred twenty thousand, thirteen".

Divisors: 1 383 397 863 152051 330529 342611 131220013