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131040013 = 1326338327
BaseRepresentation
bin1111100111110…
…00001100001101
3100010120112002211
413303320030031
5232021240023
621000350421
73150551566
oct763701415
9303515084
10131040013
1167a72335
1237a75411
13211c0c90
141359116d
15b786a0d
hex7cf830d

131040013 has 8 divisors (see below), whose sum is σ = 141660288. Its totient is φ = 120496944.

The previous prime is 131039989. The next prime is 131040023. The reversal of 131040013 is 310040131.

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

It is a cyclic number.

It is not a de Polignac number, because 131040013 - 25 = 131039981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131039975 and 131040002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131040023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15745 + ... + 22582.

It is an arithmetic number, because the mean of its divisors is an integer number (17707536).

Almost surely, 2131040013 is an apocalyptic number.

131040013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131040013 is a deficient number, since it is larger than the sum of its proper divisors (10620275).

131040013 is a wasteful number, since it uses less digits than its factorization.

131040013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38603.

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

The square root of 131040013 is about 11447.2709848243. The cubic root of 131040013 is about 507.9270114927.

Adding to 131040013 its reverse (310040131), we get a palindrome (441080144).

The spelling of 131040013 in words is "one hundred thirty-one million, forty thousand, thirteen".

Divisors: 1 13 263 3419 38327 498251 10080001 131040013