Search a number
-
+
131012316401 is a prime number
BaseRepresentation
bin111101000000011110…
…0010100110011110001
3110112011110210020122212
41322000330110303301
54121303123111101
6140104120341505
712315415213061
oct1720074246361
9415143706585
10131012316401
115062004545a
1221483914895
13c47b834a15
1464abb013a1
15361bb791bb
hex1e80f14cf1

131012316401 has 2 divisors, whose sum is σ = 131012316402. Its totient is φ = 131012316400.

The previous prime is 131012316377. The next prime is 131012316419. The reversal of 131012316401 is 104613210131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115691818225 + 15320498176 = 340135^2 + 123776^2 .

It is a cyclic number.

It is not a de Polignac number, because 131012316401 - 222 = 131008122097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (131012316431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65506158200 + 65506158201.

It is an arithmetic number, because the mean of its divisors is an integer number (65506158201).

Almost surely, 2131012316401 is an apocalyptic number.

It is an amenable number.

131012316401 is a deficient number, since it is larger than the sum of its proper divisors (1).

131012316401 is an equidigital number, since it uses as much as digits as its factorization.

131012316401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 131012316401 its reverse (104613210131), we get a palindrome (235625526532).

The spelling of 131012316401 in words is "one hundred thirty-one billion, twelve million, three hundred sixteen thousand, four hundred one".