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131020213013 is a prime number
BaseRepresentation
bin111101000000101101…
…0011100101100010101
3110112012000122102202222
41322001122130230111
54121312133304023
6140105001512125
712315542302214
oct1720132345425
9415160572688
10131020213013
1150624549288
12214864a2645
13c48036b081
1464acb9907b
15361c6d8cc8
hex1e8169cb15

131020213013 has 2 divisors, whose sum is σ = 131020213014. Its totient is φ = 131020213012.

The previous prime is 131020212959. The next prime is 131020213039. The reversal of 131020213013 is 310312020131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88552070929 + 42468142084 = 297577^2 + 206078^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131020213013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131020212982 and 131020213000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131020215013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65510106506 + 65510106507.

It is an arithmetic number, because the mean of its divisors is an integer number (65510106507).

Almost surely, 2131020213013 is an apocalyptic number.

It is an amenable number.

131020213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131020213013 is an equidigital number, since it uses as much as digits as its factorization.

131020213013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131020213013 its reverse (310312020131), we get a palindrome (441332233144).

The spelling of 131020213013 in words is "one hundred thirty-one billion, twenty million, two hundred thirteen thousand, thirteen".