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131331311009 is a prime number
BaseRepresentation
bin111101001001111110…
…1001100010110100001
3110112222201000211222222
41322103331030112201
54122431303423014
6140155513440425
712326340503363
oct1722375142641
9415881024888
10131331311009
1150774112868
1221552710115
13c4cc953422
1464dc21ad33
153639b8b08e
hex1e93f4c5a1

131331311009 has 2 divisors, whose sum is σ = 131331311010. Its totient is φ = 131331311008.

The previous prime is 131331310969. The next prime is 131331311039. The reversal of 131331311009 is 900113133131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86055982609 + 45275328400 = 293353^2 + 212780^2 .

It is a cyclic number.

It is not a de Polignac number, because 131331311009 - 212 = 131331306913 is a prime.

It is not a weakly prime, because it can be changed into another prime (131331311039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65665655504 + 65665655505.

It is an arithmetic number, because the mean of its divisors is an integer number (65665655505).

Almost surely, 2131331311009 is an apocalyptic number.

It is an amenable number.

131331311009 is a deficient number, since it is larger than the sum of its proper divisors (1).

131331311009 is an equidigital number, since it uses as much as digits as its factorization.

131331311009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 26.

The spelling of 131331311009 in words is "one hundred thirty-one billion, three hundred thirty-one million, three hundred eleven thousand, nine".