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131323310311331 = 3725237140637899
BaseRepresentation
bin11101110111000000010111…
…010000110000011110100011
3122012222101102021211020201002
4131313000113100300132203
5114203100114414430311
61143145032414302215
736442540023566405
oct3567002720603643
9565871367736632
10131323310311331
11389309a3096326
121288b406ab796b
135837972b09a48
142460121530b75
15102b049b7793b
hex7770174307a3

131323310311331 has 8 divisors (see below), whose sum is σ = 134877934167600. Its totient is φ = 127768967781408.

The previous prime is 131323310311267. The next prime is 131323310311381. The reversal of 131323310311331 is 133113013323131.

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 131323310311331 - 26 = 131323310311267 is a prime.

It is a super-2 number, since 2×1313233103113312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131323310311294 and 131323310311303.

It is not an unprimeable number, because it can be changed into a prime (131323310311381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69385181 + ... + 71252718.

It is an arithmetic number, because the mean of its divisors is an integer number (16859741770950).

Almost surely, 2131323310311331 is an apocalyptic number.

131323310311331 is a deficient number, since it is larger than the sum of its proper divisors (3554623856269).

131323310311331 is a wasteful number, since it uses less digits than its factorization.

131323310311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140663173.

The product of its (nonzero) digits is 4374, while the sum is 29.

Adding to 131323310311331 its reverse (133113013323131), we get a palindrome (264436323634462).

The spelling of 131323310311331 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, three hundred ten million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 37 25237 933769 140637899 5203602263 3549278657063 131323310311331