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131042414113 = 1310794207343
BaseRepresentation
bin111101000001010111…
…1001000111000100001
3110112020120102100221221
41322002233020320201
54121333324222423
6140111113415041
712316232066362
oct1720257107041
9415216370857
10131042414113
11506360322a6
1221491a0a481
13c484b42310
1464b1ad7b69
15361e621e5d
hex1e82bc8e21

131042414113 has 8 divisors (see below), whose sum is σ = 142441504128. Its totient is φ = 119831739024.

The previous prime is 131042414101. The next prime is 131042414143. The reversal of 131042414113 is 311414240131.

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 131042414113 - 233 = 122452479521 is a prime.

It is a super-2 number, since 2×1310424141132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131042414143) 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, 47102281 + ... + 47105062.

It is an arithmetic number, because the mean of its divisors is an integer number (17805188016).

Almost surely, 2131042414113 is an apocalyptic number.

131042414113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131042414113 is a deficient number, since it is larger than the sum of its proper divisors (11399090015).

131042414113 is a wasteful number, since it uses less digits than its factorization.

131042414113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94207463.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131042414113 its reverse (311414240131), we get a palindrome (442456654244).

The spelling of 131042414113 in words is "one hundred thirty-one billion, forty-two million, four hundred fourteen thousand, one hundred thirteen".

Divisors: 1 13 107 1391 94207343 1224695459 10080185701 131042414113