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131310011 = 7109172097
BaseRepresentation
bin1111101001110…
…10000110111011
3100011002020110202
413310322012323
5232103410021
621010232415
73153055010
oct764720673
9304066422
10131310011
1168137178
1237b8570b
1321286b41
1413621707
15b7dba0b
hex7d3a1bb

131310011 has 8 divisors (see below), whose sum is σ = 151446240. Its totient is φ = 111518208.

The previous prime is 131309993. The next prime is 131310043. The reversal of 131310011 is 110013131.

It is a happy number.

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 131310011 - 26 = 131309947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131309974 and 131310001.

It is not an unprimeable number, because it can be changed into a prime (131310061) 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 7 ways as a sum of consecutive naturals, for example, 85286 + ... + 86811.

It is an arithmetic number, because the mean of its divisors is an integer number (18930780).

Almost surely, 2131310011 is an apocalyptic number.

131310011 is a deficient number, since it is larger than the sum of its proper divisors (20136229).

131310011 is a wasteful number, since it uses less digits than its factorization.

131310011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172213.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 131310011 is about 11459.0580328402. The cubic root of 131310011 is about 508.2756205255.

Adding to 131310011 its reverse (110013131), we get a palindrome (241323142).

The spelling of 131310011 in words is "one hundred thirty-one million, three hundred ten thousand, eleven".

Divisors: 1 7 109 763 172097 1204679 18758573 131310011