Search a number
-
+
131130312023813 is a prime number
BaseRepresentation
bin11101110100001100100111…
…101010101101111100000101
3122012021221020220111102002012
4131310030213222231330011
5114141414334334230223
61142520233403224005
736422565242323334
oct3564144752557405
9565257226442065
10131130312023813
1138867064639373
1212859b24218005
1358226c627310b
142454a532d3d1b
151026001259c78
hex774327aadf05

131130312023813 has 2 divisors, whose sum is σ = 131130312023814. Its totient is φ = 131130312023812.

The previous prime is 131130312023807. The next prime is 131130312023869. The reversal of 131130312023813 is 318320213031131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73003746673729 + 58126565350084 = 8544223^2 + 7624078^2 .

It is a cyclic number.

It is not a de Polignac number, because 131130312023813 - 230 = 131129238281989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131130312023813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131130312023213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65565156011906 + 65565156011907.

It is an arithmetic number, because the mean of its divisors is an integer number (65565156011907).

Almost surely, 2131130312023813 is an apocalyptic number.

It is an amenable number.

131130312023813 is a deficient number, since it is larger than the sum of its proper divisors (1).

131130312023813 is an equidigital number, since it uses as much as digits as its factorization.

131130312023813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

Adding to 131130312023813 its reverse (318320213031131), we get a palindrome (449450525054944).

The spelling of 131130312023813 in words is "one hundred thirty-one trillion, one hundred thirty billion, three hundred twelve million, twenty-three thousand, eight hundred thirteen".