Search a number
-
+
131320203300013 = 71323161127563821
BaseRepresentation
bin11101110110111101011110…
…000100011100110010101101
3122012222002101202102201102211
4131312331132010130302231
5114203022234021100023
61143143400224250421
736442400025460360
oct3566753604346255
9565862352381384
10131320203300013
113892a649285782
121288a89a470a11
1358375991c8600
14245dd08a300d7
15102ae16ee6a0d
hex776f5e11ccad

131320203300013 has 192 divisors, whose sum is σ = 172362837786624. Its totient is φ = 97829327232000.

The previous prime is 131320203299959. The next prime is 131320203300019. The reversal of 131320203300013 is 310003302023131.

It is not a de Polignac number, because 131320203300013 - 245 = 96135831211181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131320203300019) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159951526143 + ... + 159951526963.

It is an arithmetic number, because the mean of its divisors is an integer number (897723113472).

Almost surely, 2131320203300013 is an apocalyptic number.

131320203300013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131320203300013 is a deficient number, since it is larger than the sum of its proper divisors (41042634486611).

131320203300013 is a wasteful number, since it uses less digits than its factorization.

131320203300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 131320203300013 its reverse (310003302023131), we get a palindrome (441323505323144).

The spelling of 131320203300013 in words is "one hundred thirty-one trillion, three hundred twenty billion, two hundred three million, three hundred thousand, thirteen".