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131413040134321 = 11736071077125031
BaseRepresentation
bin11101111000010011111011…
…100100110111100010110001
3122020021222000201022112122111
4131320103323210313202301
5114211032401233244241
61143254152304005321
736452164432524031
oct3570237344674261
9566258021275574
10131413040134321
1138965a59252430
12128a4889300841
13584327297376a
1424645d45bd8c1
15102d54c436c81
hex7784fb9378b1

131413040134321 has 32 divisors (see below), whose sum is σ = 145582254268416. Its totient is φ = 117620134992000.

The previous prime is 131413040134319. The next prime is 131413040134357. The reversal of 131413040134321 is 123431040314131.

It is a cyclic number.

It is not a de Polignac number, because 131413040134321 - 21 = 131413040134319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131413040134301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5249999076 + ... + 5250024106.

It is an arithmetic number, because the mean of its divisors is an integer number (4549445445888).

Almost surely, 2131413040134321 is an apocalyptic number.

131413040134321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131413040134321 is a deficient number, since it is larger than the sum of its proper divisors (14169214134095).

131413040134321 is a wasteful number, since it uses less digits than its factorization.

131413040134321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36493.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 131413040134321 its reverse (123431040314131), we get a palindrome (254844080448452).

The spelling of 131413040134321 in words is "one hundred thirty-one trillion, four hundred thirteen billion, forty million, one hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 11 73 607 803 6677 10771 25031 44311 118481 275341 487421 786283 1827263 6537997 8649113 15193817 20099893 71917967 167131987 269608901 477273781 1109148641 2965697911 5250011591 12200635051 19681449773 163652602907 216495947503 1800178631977 11946640012211 131413040134321