Search a number
-
+
131118514081 is a prime number
BaseRepresentation
bin111101000011101000…
…1011011111110100001
3110112102212121122111021
41322013101123332201
54122012314422311
6140122432445441
712321144660232
oct1720721337641
9415385548437
10131118514081
1150674a8a335
12214b33a9881
13c497838499
1464bbc67089
153626155171
hex1e8745bfa1

131118514081 has 2 divisors, whose sum is σ = 131118514082. Its totient is φ = 131118514080.

The previous prime is 131118514063. The next prime is 131118514207. The reversal of 131118514081 is 180415811131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126839261025 + 4279253056 = 356145^2 + 65416^2 .

It is a cyclic number.

It is not a de Polignac number, because 131118514081 - 215 = 131118481313 is a prime.

It is a super-2 number, since 2×1311185140812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131118514061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65559257040 + 65559257041.

It is an arithmetic number, because the mean of its divisors is an integer number (65559257041).

Almost surely, 2131118514081 is an apocalyptic number.

It is an amenable number.

131118514081 is a deficient number, since it is larger than the sum of its proper divisors (1).

131118514081 is an equidigital number, since it uses as much as digits as its factorization.

131118514081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 34.

The spelling of 131118514081 in words is "one hundred thirty-one billion, one hundred eighteen million, five hundred fourteen thousand, eighty-one".