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131213131099969 is a prime number
BaseRepresentation
bin11101110101011001110000…
…000100011010111101000001
3122012120212000201012101120011
4131311121300010122331001
5114144243443030144334
61143022251423344521
736431556465004012
oct3565316004327501
9565525021171504
10131213131099969
11388991a3872056
1212871b98152141
13582a464453c19
142458a6c61b009
15102824be80564
hex77567011af41

131213131099969 has 2 divisors, whose sum is σ = 131213131099970. Its totient is φ = 131213131099968.

The previous prime is 131213131099927. The next prime is 131213131099979. The reversal of 131213131099969 is 969990131312131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89200242489744 + 42012888610225 = 9444588^2 + 6481735^2 .

It is an emirp because it is prime and its reverse (969990131312131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131213131099969 - 215 = 131213131067201 is a prime.

It is a super-2 number, since 2×1312131310999692 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131213131099979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65606565549984 + 65606565549985.

It is an arithmetic number, because the mean of its divisors is an integer number (65606565549985).

Almost surely, 2131213131099969 is an apocalyptic number.

It is an amenable number.

131213131099969 is a deficient number, since it is larger than the sum of its proper divisors (1).

131213131099969 is an equidigital number, since it uses as much as digits as its factorization.

131213131099969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2125764, while the sum is 58.

The spelling of 131213131099969 in words is "one hundred thirty-one trillion, two hundred thirteen billion, one hundred thirty-one million, ninety-nine thousand, nine hundred sixty-nine".